Keywords: Meromorphic functions Multivalent functions Dziok–Srivastava linear operator Hadamard product (or convolution) Subordination between analytic functions Generalized hypergeometric function Symmetric points Conjugate points Symmetric conjugate points a b s t r a c t In the present paper, we introduce and investigate each of the following new subclasses: of meromorphically p-valent funct...

A new summation formula that is connected to the generalized hypergeometric function is presented. The formula can be applied in the Taylor series method for the solution of ordinary differential equations.

Abstract A generalized q-Taylor’s formula in fractional q-calculus is established and used in deriving certain q-generating functions for the basic hypergeometric functions and basic Fox’s H-function. 2010 Mathematics Subject Classification: 33D45, 26A33 and 33D90.

We derive the first three terms of the ε− expansion of the scalar one-loop Bhabha box function from a representation in terms of three generalized hypergeometric functions, which is valid in arbitrary dimensions.

In this paper, we mainly study the order of q-starlikeness well-known basic hypergeometric function. addition, discuss Bieberbach-type problem and second Hankel determinant for a generalized class starlike functions.

The celebrated Zeilberger algorithm which finds holonomic recurrence equations for definite sums of hypergeometric terms F (n, k) is extended to certain nonhypergeometric terms. An expression F (n, k) is called hypergeometric term if both F (n + 1, k)/F (n, k) and F (n, k+1)/F (n, k) are rational functions. Typical examples are ratios of products of exponentials, factorials, Γ function terms, b...

A new family of recursive power-series distributions involving the generalized hypergeometric function is proposed. The probability generating and moment generating functions are given; and extensions of the Poisson, geometric, negative binomial, log-series, and generalized Waring distributions are presented as examples.

We write down the generalized Bessel function associated with the root system of type D by means of multivariate hypergeometric series. Our hint comes from the particular case of the Brownian motion in the Weyl chamber of type D.

ABSTRACT In this paper, we employ the generalized fractional calculus operators on the generalized Mittag-Leffler function. Some results associated with generalized Wright function are obtained. Recent results of Chaurasia and Pandey are obtained as special cases. 2000 MATHEMATICS SUBJECT CLASSIFICATION 33C45, 47G20, 26A33.