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Article . 2014
License: CC BY
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Article . 2014
License: CC BY
Data sources: Datacite
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ANALOGUE OF THE SHIFT OPERATORS AND PSEUDO - POLYNOMIALS OF FRACTIONAL ORDER

Authors: Asif, Mohammad;

ANALOGUE OF THE SHIFT OPERATORS AND PSEUDO - POLYNOMIALS OF FRACTIONAL ORDER

Abstract

he present paper envisages the q - analogues of the operators, results determined by Dattoli et al, to deal with the families of pseudo-Kampé de Fériet polynomials, which can be viewed as the complement for the theory of q-fractional derivatives and q-partial fractional differential equations of evolutionary type. We show that these families allow the possibility of treating a large variety of q-exponential operators providing generalized fractional forms of q-shift operators.

Keywords

q-Calculus, q-Hermite-Kampé de Fériet (or Gould-Hopper) polynomials; q - Bessel functions, g - Exponential operators, Fractional calculus

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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