Results 11 to 20 of about 2,496,823 (351)
Three- and four-term recurrence relations for Horn's hypergeometric function $H_4$
Research in Mathematics, 2022 Three- and four-term recurrence relations for hypergeometric functions of the second order (such as hypergeometric functions of Appell, Horn, etc.) are the starting point for constructing branched continued fraction expansions of the ratios of these ...
R. Dmytryshyn, I.-A.V. Lutsiv
semanticscholar +1 more source
Dynaplex: analyzing program complexity using dynamically inferred recurrence relations
Proc. ACM Program. Lang., 2021 Being able to detect program runtime complexity is useful in many tasks (e.g., checking expected performance and identifying potential security vulnerabilities).
Didier Ishimwe +2 more
semanticscholar +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 +2 more
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
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
Numerically Stable Recurrence Relations for the Communication Hiding Pipelined Conjugate Gradient Method [PDF]
IEEE Transactions on Parallel and Distributed Systems, 2019 Pipelined Krylov subspace methods (also referred to as communication-hiding methods) have been proposed in the literature as a scalable alternative to classic Krylov subspace algorithms for iteratively computing the solution to a large linear system in ...
Siegfried Cools +2 more
semanticscholar +1 more source
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
A Study of the Second-Kind Multivariate Pseudo-Chebyshev Functions of Fractional Degree
Mathematics, 2020 Here, in this paper, the second-kind multivariate pseudo-Chebyshev functions of fractional degree are introduced by using the Dunford–Taylor integral.
Paolo Emilio Ricci, Rekha Srivastava
doaj +1 more source
Three- and four-electron integrals involving Gaussian geminals: Fundamental integrals, upper bounds, and recurrence relations. [PDF]
Journal of Chemical Physics, 2017 We report the three main ingredients to calculate three- and four-electron integrals over Gaussian basis functions involving Gaussian geminal operators: fundamental integrals, upper bounds, and recurrence relations.
G. Barca, Pierre‐François Loos
semanticscholar +1 more source
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 +2 more
doaj +1 more source