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20152022
most citedThe -Lidstone series involving -Bernoulli and -Euler polynomials generated by the third Jackson -Bessel function

1 citations · 2 across the 8 of their papers we have counts for

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math.CA2022

A Lagrangian method for indefinite q-integrals

Gamela E. Heragy, Zeinab S. I. Mansour, Karima M. Orabya

A Lagrangian method is introduced recently for deriving indefinite integrals of special functions that satisfy homogeneous (nonhomogeneous) second-order linear differential equatio…

math.CA2022

Indefinite -integrals from a method using -Ricatti equations

G. E. Heragy, Z. S. I. Mansour, K. M. Oraby

Earlier work introduced a method for obtaining indefinite -integrals of -special functions from the second-order linear -difference equations that define them. In this pap…

math.CA20221 cited

The -Lidstone series involving -Bernoulli and -Euler polynomials generated by the third Jackson -Bessel function

Z. S. I. Mansour, M. AL-Towailb

n this paper, we present -Bernoulli and -Euler polynomials generated by the third Jackson -Bessel function to construct new types of -Lidstone expansion theorem. We pro…

math.CA2022

Generalized -Bernoulli polynomials generated by Jackson -Bessel functions

S. Z. Eweis, Zeinab S. I. Mansour

In this paper, we introduce the polynomials generated by a function including Jackson -Bessel functions . The cases $α=\…

math.CA20201 cited

On -analogs of zeta functions associated with a pair of -analogs of Bernoulli numbers and polynomials

Ahmad El-Guindy, Zeinab Mansour

In this paper, we use two different approaches to introduce -analogs of Riemann's zeta function and prove that their values at even integers are related to the -Bernoulli and…