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In this paper, we consider three types of functions given by sums of products of higher-order Euler functions and derive their Fourier series expansions. Moreover, we express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we consider three types of functions given by sums of products of higher-order Euler functions and derive their Fourier series expansions. Moreover, we express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we would like to use umbral calculus in order to derive some properties, recurrence relations and identities related to r-Stirling numbers of second kind and r-Bell polynomials. In particular, we will express the r-Bell polynomials as linear combinations of many well-known families of special polynomials. [ABSTRACT FROM AUTHOR]

In this paper, we apply umbral calculus techniques in order to derive explicit exprissions, some properties, recurrence relations and identities for degenerate poly-Genocchi polynomials. Further-more, we derive several explicit expressions of degenerate poly-Genocchi polynomials as linear combinations of some of the well-known families of special polynomials. [ABSTRACT FROM AUTHOR]

In this paper, we will consider three types functions associated with poly-Genocchi polynomials and find their Fourier series expansions. In addition, we will express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we consider three types of functions given by the sums of products of poly-Genocchi and poly-Bernoulli functions and derive their Fourier series expansions. Moreover, we will express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

We consider three types of functions given by sums of products of poly-Bernoulli and Euler functions and derive their Fourier series expansions. In addition, we will express each of them in terms of Bernoulli and Euler functions. [ABSTRACT FROM AUTHOR]

Recently, some authors introduced poly-Genocchi polynomials as an analogy to poly-Bernoulli polynomials. In this paper, we will consider three types of sums of products of poly-Genocchi functions and derive their Fourier expansions. In addition, we will express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we would like to exploit umbral calculus in order to derive explicit expressions, some properties, recurrence relations and identities for poly-Genocchi polynomials. [ABSTRACT FROM AUTHOR]

Recently, Mihoubi and Taharbouchet gave some interesting method of obtain-ing certain identities for Appell polynomials of arbitrary orders starting from the given identities for Appell polynomials of fixed orders. In addition, they illustrated their method with several examples. The purpose of this paper is to note that their method can be gen-eralized so as to include any Sheffer polynomials. Also, we will provide many examples that illustrate our results. [ABSTRACT FROM AUTHOR]

In this paper, we will consider three types of sums of finite products of Bernoulli and Euler functions, and derive the Fourier series expansions of them. In addition, we will express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we consider three types of functions related to higher-order Genocchi functions and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we consider three types of functions involving higher-order Euler polynomials and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we will study three types of sums of products of ordered Bell and Euler functions and derive their Fourier series expansions. In addition, we will express those functions in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we consider three types of functions given by sums of products of higher-order Euler functions and derive their Fourier series ex- pansions. Moreover, we express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we would like to use umbral calculus in order to derive some properties, recurrence relations and identities related to r-Stirling numbers of second kind and r-Bell polynomials. In particular, we will express the r-Bell polynomials as linear combinations of many well-known families of special polynomials. [ABSTRACT FROM AUTHOR]

In this paper, we apply umbral calculus techniques in order to derive explicit expressions, some properties, recurrence relations and identities for degenerate poly-Genocchi polynomials. Furthermore, we derive several explicit expressions of degenerate poly-Genocchi polynomials as linear combinations of some of the well-known families of special polynomials. [ABSTRACT FROM AUTHOR]

In this paper, we will consider three types functions associated with poly-Genocchi polynomials and find their Fourier series expansions. In addition, we will express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we consider three types of functions given by the sums of products of poly-Genocchi and poly-Bernoulli functions and derive their Fourier series expansions. Moreover, we will express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

We consider three types of functions given by sums of products of poly-Bernoulli and Euler functions and derive their Fourier series expansions. In addition, we will express each of them in terms of Bernoulli and Euler functions. [ABSTRACT FROM AUTHOR]

In this paper, we would like to exploit umbral calculus in order to derive explicit expressions, some properties, recurrence relations and identities for poly-Genocchi polynomials. [ABSTRACT FROM AUTHOR]

Recently, some authors introduced poly-Genocchi polynomials as an analogy to poly-Bernoulli polynomials. In this paper, we will consider three types of sums of products of poly-Genocchi functions and derive their Fourier expansions. In addition, we will express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

Recently, Mihoubi and Taharbouchet gave some interesting method of obtaining certain identities for Appell polynomials of arbitrary orders starting from the given identities for Appell polynomials of fixed orders. In addition, they illustrated their method with several examples. The purpose of this paper is to note that their method can be generalized so as to include any Sheffer polynomials. Also, we will provide many examples that illustrate our results. [ABSTRACT FROM AUTHOR]

In this paper, we will consider three types of sums of finite products of Bernoulli and Euler functions, and derive the Fourier series expansions of them. In addition, we will express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we consider three types of functions related to higher-order Genocchi functions and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we consider three types of functions involving higher-order Euler polynomials and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we will study three types of sums of products of ordered Bell and Genocchi functions and derive their Fourier series expansions. Further, we will express those functions in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we will study three types of sums of products of ordered Bell and Euler functions and derive their Fourier series expansions. In addition, we will express those functions in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we consider three types of functions associated with poly-Bernoulli functions and derive their Fourier series expansions. In addition, we will express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

We study three types of sums of products of Euler and Genocchi functions and derive Fourier series expansions for them. Further, we will be able to express each of those functions in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

Recently, T. Kim introduced Fourier series expansions of certain special polynomials and investigated some interesting identities and properties of these polynomials by using those Fourier series. In this paper, we consider three types of functions involving Euler polynomials and derive their Fourier series expansions. Moreover, we express each of them in terms of Benoulli functions. [ABSTRACT FROM AUTHOR]

We derive Fourier series expansions of three types of sums of products of poly-Bernoulli and Genocchi functions. In addition, we express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

We consider three types of functions involving Genocchi polynomials and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

We consider three types of sums of products of Euler functions and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions. [ABSTRACT FROM AUTHOR]

In this paper, we derive some identities for higher-order Genocchi functions arising from Fourier series for them . In addition, we give some application of these identities related to Bernoulli function. [ABSTRACT FROM AUTHOR]

In this paper, we investigate differential equations associated with squared Hermite polynomials and derive some new and explicit identities for these polynomials arising from the differential equations. [ABSTRACT FROM AUTHOR]

In this paper, we consider some ordinary differential equations associated with modifiled degenerate Euler and Bernoulli numbers and give some new identities for these numbers arising from our differential equations. [ABSTRACT FROM AUTHOR]

In this paper, we investigate some properties of Chebyshev polynomials arising from non-linear differential equations. From our investigation, we derive some new and interesting identities on Chebyshev polynomials. [ABSTRACT FROM AUTHOR]

In this paper, we consider linear differential equations satisfied by the generating function for Hermite polynomials and derive some new identities involving those polynomials. [ABSTRACT FROM AUTHOR]

In this paper, we study linear differential equations arising from Bessel polynomials and their applications. From these linear differential equations, we give some new and explicit identities for Bessel polynomials. [ABSTRACT FROM AUTHOR]

In this paper, we investigate differential equations associated with squared Hermite polynomials and derive some new and explicit identities for these polynomials arising from the differential equations. [ABSTRACT FROM AUTHOR]

In this paper, we consider some ordinary differential equations associated with modified degenerate Euler and Bernoulli numbers and give some new identities for these numbers arising from our differential equations. [ABSTRACT FROM AUTHOR]

In this paper, we consider linear differential equations satisfied by the generating function for Hermite polynomials and derive some new identities involving those polynomials. [ABSTRACT FROM AUTHOR]

In this paper, we investigate some properties of Chebyshev polynomials arising from non-linear differential equations. From our investigation, we derive some new and interesting identities on Chebyshev polynomials. [ABSTRACT FROM AUTHOR]

In this paper, we study linear differential equations arising from Bessel polynomials and their applications. From these linear differential equations, we give some new and explicit identities for Bessel polynomials. [ABSTRACT FROM AUTHOR]

In this paper, we consider the Barnes-type degenerate Bernoulli and Euler mixed-type polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials. [ABSTRACT FROM AUTHOR]

In this paper, we introduce new degenerate Bernoulli polynomials which are derived from umbral calculus and investigate some interesting properties of those polynomials. [ABSTRACT FROM AUTHOR]

In this paper, we consider the Korobov polynomials of the seventh kind and of the eighth kind. We present several explicit formulas and recurrence relations for these polynomials. In addition, we establish connections between our polynomials and several known families of polynomials. [ABSTRACT FROM AUTHOR]

Carlitz introduced the degenerate Bernoulli polynomials and de- rived, among other things, the so-called degenerate Staudt-Clausen theorem for the degenerate Bernoulli numbers as an analogue of the classical Staudt- Clausen theorem. In this paper, we consider the higher-order Carlitz's degen- erate Bernoulli polynomials with umbral calculus viewpoint and derive new identities and properties of those polynomials associated with special polyno- mials which are derived from umbral calculus. [ABSTRACT FROM AUTHOR]

In this paper, we consider the Barnes-type degenerate Bernoulli and Euler mixed-type polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials. [ABSTRACT FROM AUTHOR]