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Some theorem on Eulerian integrals of the multivariable H-function and their applications

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Discrete Integrable Systems

THE MAIN OBJECT OF THE PRESENT PAPER IS TO DERIVE KEY FORMULAS FOR THE FRACTIONAL INTEGERATION OF THE MULTIVARIABLE H -FUNCTION.EACHOF THE GENERAL EULERIAN INTEGERAL FORMULASARE SHOWN TO YIELD INTERESTING NEW RESULTS FOR VARIOUS FAMILIES OF GENERALIZED HYPERGEOMETRIC FUNCTIONS OF SEVERAL VARIABLES .SOME OF THESE APPLICATIONS OF THE KEY FORMULAS WOULD PROVIDE POTENTIALLY USEFUL GENERALIZATIONS OF KNOWN RESULTS IN THE THEORY OF FRACTIONAL CALCULUS .

This talk is part of the Isaac Newton Institute Seminar Series series.

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