10 citations · 12 across the 9 of their papers we have counts for
11 papers
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…
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…
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…
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=\…
-type Lidstone expansions and an interpolation problem for entire functions
Mourad E. H. Ismail, Zeinab S. I. Mansour
In this paper, we expand functions of specific -exponential growth in terms of its even (odd) Askey- Wilson -derivatives at and . This expansion i…
Odd and even -type Lidstone polynomial sequences
Zeinab S. I. Mansour, Maryam Al Towailb
In this paper, we introduce two types of general classes of even and odd -Lidstone polynomial sequences. We prove essential properties related to them like the matrix and determ…
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…
On Fractional q-Sturm--Liouville problems
Zeinab S. I. Mansour
In this paper, we formulate a regular -fractional Sturm--Liouville problem (qFSLP) which includes the left-sided Riemann--Liouville and the right-sided Caputo q-fractional deriv…
Variational methods for fractional -Sturm--Liouville Problems
Zeinab S. I. Mansour
In this paper, we formulate a regular -fractional Sturm--Liouville problem (qFSLP) which includes the left-sided Riemann--Liouville and the right-sided Caputo -fractional der…
Certain triple q-integral equations involving third Jackson -Bessel functions as kernel
Z. S. Mansour, M. A. AL-Towailb
In this paper, we employ the fractional -calculus in solving a triple system of -Integral equations, where the kernel is the third Jackson -Bessel functions. The solution…
Functional definitions for -analogues of eulerian functions and applications
Ahmad El-Guindy, Zeinab Mansour
We explore a number of functional properties of the -gamma function and a class of its quotients; including the -beta function. We obtain formulas for all higher logarithmic…