Differential and integral equations for Legendre-Laguerre based hybrid polynomials
Keyword(s):
UDC 517.9 In this article, a hybrid family of three-variable Legendre – Laguerre – Appell polynomials is explored and their properties including the series expansions, determinant forms, recurrence relations, shift operators, followed by differential, integro-differential and partial differential equations are established. The analogous results for the three-variable Hermite – Laguerre – Appell polynomials are deduced. Certain examples in terms of Legendre – Laguerre – Bernoulli, –E uler and – Genocchi polynomials are constructed to show the applications of main results. A further investigation is performed by deriving homogeneous Volterra integral equations for these polynomials and for their relatives.
2018 ◽
Vol 9
(3)
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pp. 185-194
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2016 ◽
Vol 52
(9)
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pp. 1142-1149
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