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3 results on '"degenerate cosine-Bernoulli polynomials"'

1. A Note on degenerate Euler and Bernoulli Polynomials of Complex Variable

Author

Dae San Kim, Taekyun Kim, and Hyunseok Lee

Subjects
degenerate cosine-Euler polynomials, degenerate sine-Euler polynomials, degenerate cosine-Bernoulli polynomials, degenerate sine-Bernoulli polynomials, degenerate cosine-polynomials, degenerate sine-polynomials, Mathematics, QA1-939
Abstract

Recently, the so-called new type Euler polynomials have been studied without considering Euler polynomials of a complex variable. Here we study degenerate versions of these new type Euler polynomials. This has been done by considering the degenerate Euler polynomials of a complex variable. We also investigate corresponding ones for Bernoulli polynomials in the same manner. We derive some properties and identities for those new polynomials. Here we note that our result gives an affirmative answer to the question raised by the reviewer of the paper.

Published
2019
Full Text
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2. A note on degenerate Euler and Bernoulli polynomials of complex variable

Author

Taekyun Kim, Hyunseok Lee, and Dae San Kim

Subjects
Pure mathematics, degenerate cosine-polynomials, Physics and Astronomy (miscellaneous), General Mathematics, 02 engineering and technology, Type (model theory), 01 natural sciences, symbols.namesake, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Computer Science (miscellaneous), Number Theory (math.NT), 0101 mathematics, Variable (mathematics), Mathematics, Mathematics - Number Theory, lcsh:Mathematics, 010102 general mathematics, Degenerate energy levels, degenerate cosine-Euler polynomials, lcsh:QA1-939, degenerate sine-polynomials, Bernoulli polynomials, degenerate sine-Euler polynomials, degenerate cosine-Bernoulli polynomials, Chemistry (miscellaneous), Euler's formula, symbols, 020201 artificial intelligence & image processing, degenerate sine-Bernoulli polynomials, 11B68, 11B83
Abstract

In this paper, we study the degenerate version of the new type Euler polynomials, namely degenerate cosine-Euler polynomials and sime-Euler polynomials and also corresponding ones for Bernoulli polynomials, namely degenerate cosine Bernoulli polynomials and degenerate sine-Bernoulli polynomials by considering the degenerate Euler polynomials of complex variable and the degenerate Bernoulli polynomials of complex variable., 16pages

Published
2019

3. A Note on Degenerate Euler and Bernoulli Polynomials of Complex Variable.

Author

Kim, Dae San, Kim, Taekyun, and Lee, Hyunseok

Subjects
*EULER polynomials, *BERNOULLI polynomials, *COMPLEX variables, *IDENTITIES (Mathematics), *BERNOULLI numbers, *POLYNOMIALS
Abstract

Recently, the so-called new type Euler polynomials have been studied without considering Euler polynomials of a complex variable. Here we study degenerate versions of these new type Euler polynomials. This has been done by considering the degenerate Euler polynomials of a complex variable. We also investigate corresponding ones for Bernoulli polynomials in the same manner. We derive some properties and identities for those new polynomials. Here we note that our result gives an affirmative answer to the question raised by the reviewer of the paper. [ABSTRACT FROM AUTHOR]

Published
2019
Full Text
View/download PDF

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