On Certain Appell Polynomials and Their Generalizations Based on the Tsallis q-Exponential

Khan, Sameen Ahmed; Jagannathan, R.

doi:10.1007/s40840-022-01292-2

Bull. Malays. Math. Sci. Soc.

2022

DOI: 10.1007/s40840-022-01292-2

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On Certain Appell Polynomials and Their Generalizations Based on the Tsallis q-Exponential

Sameen Ahmed Khan

R. Jagannathan²

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2023

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Some Appell–Dunkl Sequences

Ceniceros

2023

Bull. Malays. Math. Sci. Soc.

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Some examples of Appell–Dunkl sequences are shown using determined operators. Specifically, Appell–Dunkl sequences whose generating functions are of the form $$E_{\alpha }(xt)/(1\pm t^m)$$ E α ( x t ) / ( 1 ± t m ) , where the function $$E_{\alpha }(xt)$$ E α ( x t ) is given in terms of Bessel functions. Particular cases of these examples are also generated by means of the inverse of the Dunkl operator.

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Some Appell–Dunkl Sequences

Ceniceros

2023

Bull. Malays. Math. Sci. Soc.

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On Certain Appell Polynomials and Their Generalizations Based on the Tsallis q-Exponential

Cited by 1 publication

References 27 publications

Some Appell–Dunkl Sequences

Some Appell–Dunkl Sequences

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