On certain generating functions in positive characteristic

On composition of generating functions

In this work we study numbers and polynomials generated by two type of composition of generating functions and get their explicit formulae. Furthermore we state an improvementof the composita formulae's given in [6] and [3], using the new composita formula's we construct a variety of combinatorics identities. This study go alone to dene new family of generalized Bernoulli polynomials which incl...

On the zeroes of certain periodic functions over valued fields of positive characteristic

Let C be an algebraically closed field of positive characteristic p and complete with respect to a non-archimedean absolute value | . | and Λ ⊂ C a discrete Fp-submodule. Suppose there exists an Fp-basis {λ0, λ1, . . .} of Λ such that 0 < |λ0| < |λ1| < · · · and |λi| −→ ∞. For k ∈ N define the meromorphic function Ck,Λ(z) = ∑ λ∈Λ 1 (z − λ)k on C. We show that all the zeroes x of Ck,Λ satisfy (∗...

On the Arithmetical Properties of Certain Entire Characteristic Functions

On a Certain Classes of Meromorphic Functions with Positive Coefficients

In this paper certain classes of meromorphic functions in punctured unit disk are defined. Some properties including coefficient inequalities, convolution and other interesting results are investigated.

On Certain Class of Meromorphic Functions with Positive Coefficients

In the present investigation we define a new class of meromorphic functions on the punctured unit disk Δ∗ := {z ∈ C : 0 < |z| < 1} by making use of the generalized Dziok–Srivastava operator Hl m [α1]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neigh...