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Differential and Integral Equations for the 3-Variable Hermite-Frobenius-Euler and Frobenius-Genocchi Polynomials |
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PP: 1335-1346 |
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doi:10.18576/amis/110510
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Author(s) |
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Serkan Araci,
Mumtaz Riyas,
Shahid Ahmad Wani,
Subuhi Khan,
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Abstract |
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| The main goal of the present article is to derive some new classes of differential equations including partial and integrodifferential
equations for the 3-variable Hermite-Frobenius-Euler and Frobenius-Genocchi polynomials by use of the factorization
method. We also perform a further investigation for aforementioned polynomials and derive corresponding homogeneous Volterra
integral equations. The differential equations for these families of polynomials contain, as their special cases, the differential equations
for some known special polynomials. Moreover, the inclusion of integral equations is a new and recent investigation which adds some
extra attention to these polynomials. |
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