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60.567  Articles
1 of 6.058 pages  |  10  records  |  more records»
In this paper, we introduce and investigate a new subclass of bi-univalent functions S of complex order dened in the open unit disk, which are associated with hypergeometric functions and satisfying subordinate conditions. Furthermore, we nd estimate... see more

The object of this paper is to illustrate how the q-fractional calculus approach can be employed to derive a number of summation formulae for the generalized basic hypergeometric functions of one and more variables in terms of the q-gamma functions.

In this paper, we define a q-extension of the new generalized hypergeometric function given by Saxena et al. in [13], and have investigated the properties of the above new function such as q-differentiation and q-integral representation. The results prese... see more

In this paper, we obtain some subordination and superordination-preserving results of analytic functions associated with the Wright generalized hypergeometric function. Sandwich-type result involving this operator is also derived.

The main object of this paper is to present new generalizations of gamma, beta hypergeometric  and confluent hypergeometric functions. Some recurrence relations, transformation formulas, operation formulas, differentiation formulas, beta distribution... see more

In this paper, we present an extension of the classical hypergeometric functions using extended gamma function due to Jumarie and obtained some properties.

we aim in this work at establishing new integral representations of Euler type for the Exton hypergeometric functions of four variables ,  the Sharma and Parihar hypergeometric functions of four variables  and the Lauricella function of four var... see more

The object of this paper is to illustrate how the q-fractional calculus approach can be employed to derive a number of summation formulae for the generalized basic hypergeometric functions of one and more variables in terms of the q-gamma functions.

In this paper, we define a q-extension of the new generalized hypergeometric function given by Saxena et al. in [13], and have investigated the properties of the above new function such as q-differentiation and q-integral representation. The results prese... see more

1 of 6.058 pages  |  10  records  |  more records»