A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators

Abstract 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 generalizations of the Gauss F, Appell F1 $F_{1}$, F2 $F_{2}$ and Lauri...

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Päätekijät: Ayşegül Çetinkaya, İ. Onur Kıymaz, Praveen Agarwal, Ravi Agarwal
Aineistotyyppi: Artigo
Kieli:Inglês
Julkaistu: SpringerOpen 2018-05-01
Sarja:Advances in Difference Equations
Aiheet:
Beta function
Hypergeometric functions
Fractional operators
Generating functions
Linkit:http://link.springer.com/article/10.1186/s13662-018-1612-0
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