We deal with a class of integral transformations whose kernels contain the Clausenian hypergeometric function 3 F 2 (a 1 ; a 2 ; a 3 ; b 1 ; b 2 ; z). These transforms are deΓΏned in terms of integrals with respect to their parameters. It involves as particular cases the familiar Olevskii and general
Generalized hypergeometric functions associated with k-uniformly convex functions
β Scribed by A. Gangadharan; T.N. Shanmugam; H.M. Srivastava
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 653 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Using the generalized hypergeometric function, we study a class Ξ¦ p k (q, s; A, B, Ξ») of analytic functions with negative coefficients. Coefficient estimates, distortion theorem, extreme points and the radii of close-to-convexity and convexity for this class are given. We also derive many results fo
Making use of a linear operator, which is defined here by means of a Hadamard product (or convolution) involving the generalized hypergeometric function, the authors introduce and investigate the various properties and characteristics of two novel classes of meromorphically multivalent functions. Th
For a generalized hypergeometric function p El0 [z] with positive integral differences between certain numerator and denominator parameters, simple and direct proofs are given of a formula, of Per W. Karlsson [J. Math. Phys. 12, 270-271 (1971)] expressing this pFc[z] aa a finite sum of lower-order h