Results 11 to 20 of about 20,410 (261)

Certain Recurrence Relations of Two Parametric Mittag-Leffler Function and Their Application in Fractional Calculus

Fractal and Fractional, 2021
The purpose of this paper is to develop some new recurrence relations for the two parametric Mittag-Leffler function. Then, we consider some applications of those recurrence relations.
Dheerandra Shanker Sachan, Shailesh Jaloree, Junesang Choi   +2 more
doaj   +1 more source

On Determinantal recurrence relations of banded matrices

Kuwait Journal of Science, 2021
We provide an algorithm based on a less-known result about recurrence relations for the determinants of banded matrices. As a consequence, we prove recent conjectures on the determinants of particular classes of pentadiagonal matrices and simple ...
Zhibin Du, Carlos Fonseca, António Pereira   +2 more
doaj   +1 more source

On some hypergeometric Sobolev orthogonal polynomials with several continuous parameters

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2023
In this paper we study the following hypergeometric polynomials: $$ \mathcal{P}_n(x) = \mathcal{P}_n(x;\alpha,\beta,\delta_1, \dots,\delta_\rho,\kappa_1,\dots,\kappa_\rho) = $$ $$ = {}_{\rho+2} F_{\rho+1} (-n,n+\alpha+\beta+1,\delta_1+1, \dots,\delta_ ...
Sergey Zagorodnyuk
doaj   +1 more source

RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS

Проблемы анализа, 2020
We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
doaj   +1 more source

Approximation for the Ratios of the Confluent Hypergeometric Function ${\mathbf{\Phi }}_{\mathit{D}}^{\mathbf{\left(}\mathit{N}\mathbf{\right)}}$ by the Branched Continued Fractions

Axioms, 2022
The paper deals with the problem of expansion of the ratios of the confluent hypergeometric function of N variables ΦD(N)(a,b¯;c;z¯) into the branched continued fractions (BCF) of the general form with N branches of branching and investigates the ...
Tamara Antonova, Roman Dmytryshyn, Roman Kurka   +2 more
doaj   +1 more source

Probabilistic recurrence relations revisited

Theoretical Computer Science, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chaudhuri, S., Dubhashi, D.
openaire   +3 more sources

A converse of Sturm's separation theorem

Electronic Journal of Qualitative Theory of Differential Equations, 2021
We show that Sturm's classical separation theorem on the interlacing of the zeros of linearly independent solutions of real second order two-term ordinary differential equations necessarily fails in the presence of a turning point in the principal part ...
Leila Gholizadeh, Angelo Mingarelli
doaj   +1 more source

Recurrence relations for inverse and ratio moments of generalized order statistics from doubly truncated

Statistica, 2013
In this article, some recurrence relations of inverse and ratio moments for generalized order statistics from doubly truncated and non-truncated generalized exponential distribution are derived.
Eldesoky E. Afify
doaj   +1 more source

Explicit Formulas for Some Infinite ₃F₂(1)-Series

Axioms, 2021
We establish two recurrence relations for some Clausen’s hypergeometric functions with unit argument. We solve them to give the explicit formulas. Additionally, we use the moments of Ramanujan’s generalized elliptic integrals to obtain these recurrence ...
Kwang-Wu Chen
doaj   +1 more source

Revisiting some r-Fibonacci sequences and Hessenberg matrices [PDF]

Notes on Number Theory and Discrete Mathematics
The relationship between different generalizations of Fibonacci numbers and matrices is common in the literature. However, the basic relation of such sequences with Hessenberg matrices is often not properly explored.
Carlos M. da Fonseca, Paulo Saraiva, Anthony G. Shannon   +2 more
doaj   +1 more source