Bilateral generating relations associated with two variable generalized hypergeometric polynomials
In this paper, the author first prove the theorem on bilateral generating relations for a certain two-variable generalised hypergeometric polynomials by the group theoretic technique introduced by Weisner. It is then shown how the main theorem can be applied to derive a large variety of bilateral ge...
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Format: | Tagungsbericht |
Sprache: | eng |
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Zusammenfassung: | In this paper, the author first prove the theorem on bilateral generating relations for a certain two-variable generalised hypergeometric polynomials by the group theoretic technique introduced by Weisner. It is then shown how the main theorem can be applied to derive a large variety of bilateral generating functions for various special functions as well as for their various generalizations. Some results given by other researchers are thus observed to follow easily as special cases of the theorem proved in this paper. It is worth noting that special functions play role in the design of filters and approximation theory in communication engineering. |
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ISSN: | 0094-243X 1551-7616 |
DOI: | 10.1063/5.0111895 |