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Some fractional differential equations involving generalized hypergeometric functions

Agarwal Praveen, Qi Feng, Chand Mehar, Singh Gurmej

Journal of Applied Analysis

2019

Vol. 25, nr 1

37--44

In the paper, using the generalized Marichev-Saigo-Maeda fractional operator, the authors establish some fractional differential equations associated with generalized hypergeometric functions and, by employing integral transforms, present some image formulas of the resulting equations.

Subordination results and integral means inequalities for generalized k-starlike functions

Dziok J., Murugusundaramoorthy G., Wiśniowska W.

Journal of Mathematics and Applications

2009

Vol. 31

37-49

In the paper, we introduce a generalized class of k-starlike functions associated with Wright generalized hypergeometric functions and obtain the sequential subordination results and integral means inequalities. Some interesting consequences of our results are also pointed out.