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Recently, the authors introduced and studied certain subclasses of analytic functions (associated with the generalized hypergeometric function) using the classical normalization. The main object of… (More)

- Shy-Der Lin, Hari M. Srivastava
- Applied Mathematics and Computation
- 2004

The main object of this paper is to present, in a unified manner, a number of fractional derivative and other integral representations for several general families of the Hurwitz-Lerch Zeta… (More)

The main object of the present paper is to derive several strict inequalities associated with some families of integral and convolution operators which are defined for the class of normalized… (More)

Making use of the theory of fractional calculus (that is, derivatives and integrals of any real or complex order), the authors derive particular solutions of certain families of ordinary and partial… (More)

We give easy derivations of the Karlsson–Minton summation formulas for the generalized hypergeometric series of unit argument by employing elementary combinatorial identities for binomial… (More)

The authors investigate several families of double-series identities as well as their (known or new) consequences involving various hypergeometric functions in one and two variables. A number of… (More)

Abstract The authors apply a classical series identity involving the psi (or digamma) function with a view to deriving series representations for a number of known mathematical constants. Several… (More)

Abstract For a natural number n , the authors propose and develop three new series representations for the Riemann Zeta function ζ (2 n +1). The infinite series occurring in each of these three… (More)

- Hari M. Srivastava, Halit Orhan
- Appl. Math. Lett.
- 2007

Abstract By means of the derivative operator of order m ( m ∈ N 0 ), we introduce and investigate two new subclasses of p -valently analytic functions of complex order. The various results obtained… (More)

- Hari M. Srivastava, Ram K. Saxena, Chena Ram
- Applied Mathematics and Computation
- 2005

In view of their importance and usefulness in diffraction theory and probability distributions, several generalizations of the Gamma-type functions were investigated extensively in recent years. The… (More)