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The aim of this paper is to investigate the Zagreb indices of the line graphs of the tadpole graphs, wheel graphs and ladder graphs using the subdivision concepts.

The aim of this paper is to construct p-adic distribution, on X ⊂ C p , of the unification of the Bernoulli, Euler and Genocchi polynomials Y n , β ( x ; k , a , b ) , which is given by μ n , β , k , a , b j + dp N Z p = a b ( dp N - p ) ( dp N ) n - k β a jb Y n , β dp N j dp N , k , a dp N , b , where Y n , β ( x ; k , a , b ) are defined by (1.1) . We give some applications related to these functions and distribution.

Complex-valued harmonic functions that are univalent and sense preserving in the unit disk U can be written in the form f h + (g) over bar, where h and g are analytic in U. In this paper, consider the class HP(beta), (0 less than or equal to beta < 1) consisting of harmonic and univalent functions f = h + (g) over bar for which Re{ h'(z) + g'(z)} > beta. We give sufficient coefficient conditions for normalized harmonic functions in the class HP(beta). These conditions are also shown to be necessary when the coefficients are negative. This leads to distortion bounds and extreme points.