Yazar "Cetinkaya, Aysegul" için listeleme
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A certain generalized Pochhammer symbol and its applications to hypergeometric functions
Srivastava, H. M.; Cetinkaya, Aysegul; Kiymaz, I. Onur (ELSEVIER SCIENCE INC, 2014)In this article, we first introduce an interesting new generalization of the familiar Pochhammer symbol by means of a certain one-parameter family of generalized gamma functions. With the help of this new generalized ... -
A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators
Cetinkaya, Aysegul; Kiymaz, I. Onur; Agarwal, Praveen; Agarwal, Ravi (SPRINGER INTERNATIONAL PUBLISHING AG, 2018)In this paper, we present further generalizations of the beta function; Riemann-Liouville, Caputo and Kober-Erdelyi fractional operators by using confluent hypergeometric function with six parameters. We also define new ... -
The extended Srivastava's triple hypergeometric functions and their integral representations
Cetinkaya, Aysegul; Yagbasan, M. Baki; Kiymaz, I. Onur (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)We introduce the extended Srivastava's triple hypergeometric functions by using an extension of beta function. Furthermore, some integral representations are given for these new functions. (C) 2016 All rights reserved. -
An extension of Caputo fractional derivative operator and its applications
Kiymaz, I. Onur; Cetinkaya, Aysegul; Agarwal, Praveen (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)In this paper, an extension of Caputo fractional derivative operator is introduced, and the extended fractional derivatives of some elementary functions are calculated. At the same time, extensions of some hypergeometric ... -
Further Generalizations Of Gamma, Beta And Related Functions
Sahin, Recep; Yaggi, Oguz; Yagbasan, Baki; Kiymaz, I. Onur; Cetinkaya, Aysegul (UNIV PRISHTINES, 2018)In this paper, we present further generalizations of gamma and beta functions by adding extra parameters to their integral representations. Then we introduce new generalizations of hypergeometric and confluent hypergeometric ... -
The incomplete second Appell hypergeometric functions
Cetinkaya, Aysegul (ELSEVIER SCIENCE INC, 2013)Srivastava et al. [H.M. Srivastava, M.A. Chaudhry, R.P. Agarwal, The incomplete Pochhammer symbols and their applications to hypergeometric and related functions, Integral Transforms Spec. Funct. 23 (2012) 659-683] introduced ... -
The solution of the time-fractional diffusion equation by the generalized differential transform method
Cetinkaya, Aysegul; Kiymaz, Onur (PERGAMON-ELSEVIER SCIENCE LTD, 2013)In the present paper, a general recurrence relation for determining the solutions of the time-fractional diffusion equation is obtained with the generalized differential transform method. The obtained relation will help ... -
Some Composition Formulae for the M-S-M Fractional Integral Operator with the Multi-index Mittag-Leffler Functions
Jain, Shilpi; Agarwal, Praveen; Kiymaz, I. Onur; Cetinkaya, Aysegul (AMER INST PHYSICS, 2018)Authors presented some composition formulae for the Marichev-Saigo-Maeda (M-S-M) fractional integral operator with the multi-index Mittag-Leffler functions. Our results are generalizes the results obtained by Choi and ... -
A STUDY ON THE k-GENERALIZATIONS OF SOME KNOWN FUNCTIONS AND FRACTIONAL OPERATORS
Kiymaz, I. Onur; Cetinkaya, Aysegul; Agarwal, Praveen (UNIV PRISHTINES, 2017)In this paper, we first draw attention to the relationships between the original definitions and their k-generalizations of some known functions and fractional operators. Using these relationships, we not only easily ...
