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Study of Extended Hermite-Appell Polynomial via Fractional Operators |
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PP: 27-33 |
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doi:10.18576/amis/170105
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Author(s) |
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Anjali Goswami,
Mohammad Faisal Khan,
Mohammad Shadab,
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Abstract |
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| The motive of this research paper is to establish the generalized Hermite and generalized Hermite-Appell polynomials by combining the operational definitions and integral representations. The explicit summation formulae, determinant and recurrence relations for the generalized Hermite-Appell polynomials are derived by applying the integral transforms and appropriate operational rules. For the application purpose, we present the corresponding results for the generalized Hermite-Bernoulli, generalized Hermite- Euler, and Hermite-Genocchi polynomials. |
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