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