Results 1 to 10 of about 31 (31)
Some certain properties of the generalized hypercubical functions [PDF]
, 2011 In this article, the results of theoretical research of the generalized hypercube function by generalizing two known functions referring to the cube hypervolume and hypersurface and the recurrent relation between them have been presented.
Duško Letić +4 more
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Mathematical Problems in Engineering, Volume 2004, Issue 1, Page 63-77, 2004., 2004 Detailed studies of anomalous conductors in otherwise homogeneous media have been modelled. Vertical contacts form common geometries in galvanic studies when describing geological formations with different electrical conductivities on either side.
Ping Li, Frank Stagnitti
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Integral representation of the solutions to Heun′s biconfluent equation
Abstract and Applied Analysis, Volume 2004, Issue 4, Page 295-306, 2004., 2004 First, we trace the genesis of the canonical form of Heun′s biconfluent equation. Second, we present a method which allows us to find an integral expression as a solution to our equation, and finally, using the properties of Meijer G‐functions, we give an integral representation of a fundamental system of solutions to the biconfluent equation.
S. Belmehdi, J.-P. Chehab
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Determinant inequalities for sieved ultraspherical polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 11, Page 745-751, 2001., 2001 Paul Turan first observed that the Legendre polynomials satisfy the inequality Pn2(x)−Pn−1(x)Pn(x)>0, −1 < x < 1. Inequalities of this type have since been proved for both classical and nonclassical orthogonal polynomials. In this paper, we prove such an inequality for sieved orthogonal polynomials of the second kind.
J. Bustoz, I. S. Pyung
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A quadratic transformation for a special confluent Heun function
HeliyonWe report a functional identity involving a quadratic transformation of the argument for the confluent Heun function. This identity is the first of its kind to be discovered for the confluent Heun function, and it has the potential to be useful in a ...
A.M. Ishkhanyan
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Two-iterated degenerate Appell polynomials: properties and applications
Arab Journal of Basic and Applied SciencesIn the development of hybrid special polynomials, it is essential to incorporate the monomiality principle, operational rules, and other related properties.
Shahid Ahmad Wani
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On the properties and algebraic features of extended multivariate Hermite-based Appell polynomials
Demonstratio MathematicaThis paper introduces a new family of multivariate Hermite-based Appell polynomials with a one-parameter extension, defined through an appropriate generating function.
Zayed Mohra +4 more
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Fractional Whittaker Functions via a Fractional Kummer Equation
Journal of Function Spaces, Volume 2026, Issue 1, 2026.We develop a fractional analogue of the regular Whittaker function through a fractional Kummer equation constructed from the Caputo derivative and the associated fractional Euler operator Θα=xαCD0+α,01<α≤. The resulting fractional‐power series is governed by the sequence qnα=Γαn+1/Γαn−1+1,n≥10,q0α≔,which determines the coefficient recurrence ...
Muath Awadalla +2 more
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Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials
Open MathematicsThis study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad +2 more
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Caputo-Type Modification of the Erdélyi-Kober Fractional Derivative [PDF]
, 2007 2000 Math. Subject Classification: 26A33; 33E12, 33E30, 44A15, 45J05The Caputo fractional derivative is one of the most used definitions of a fractional derivative along with the Riemann-Liouville and the Grünwald- Letnikov ones.
Luchko, Yury, Trujillo, Juan
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