Saalschützian transforms
Sammlung von Formeln welche bei Anwendung der elliptischen und Rosenhain'schen Functionen gebraucht werden [Book]
Schrödinger Equation and Oscillatory Hilbert Transforms of Second Degree.
Schützenberger groups and Chebyshev polynomials.
Searching for strange hypergeometric identities by sheer brute force.
Selbstadjungierte Differentialoperatoren erster Ordnung in A2 (Co).
Self-conjugate vector partitions and the parity of the spt-function
Let spt(n) denote the total number of appearances of the smallest parts in all the partitions of n. Recently, we found new combinatorial interpretations of congruences for the spt-function modulo 5 and 7. These interpretations were in terms of a restricted set of weighted vector partitions which we call S-partitions. We prove that the number of self-conjugate S-partitions, counted with a certain weight, is related to the coefficients of a certain mock theta function studied by the first author,...
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model.
Semi-orthogonality of a class of the gauss' hypergeometric polynomials
Septic analogues of the Rogers-Ramanujan functions
Septic theta function identities in Ramanujan's lost notebook
Sequences of definite integrals, factorials and double factorials.
Series and iterations for 1/π
Series and recurrence relations for Meijer's G-function
Séries de -factorielles, opérateurs aux -différences et confluence
Séries d'Eisenstein et transcendance
Séries hypergéométriques et irrationalité des valeurs de la fonction zêta de Riemann
Nous effectuons un survol des résultats connus sur la nature diophantienne des valeurs de la fonction zêta de Riemann aux entiers. Nous mettons en particulier l’accent sur le rôle important des séries hypergéométriques dans les démonstrations de l’irrationalité de et d’une infinité des nombres .
Séries hypergéométriques multiples et polyzêtas
Nous décrivons un algorithme théorique et effectif permettant de démontrer que des séries et intégrales hypergéométriques multiples relativement générales se décomposent en combinaisons linéaires à coefficients rationnels de polyzêtas.
Several properties of generalized Fox's H-functions and their applications
Several -series identities from the Euler expansions of and
In this paper, we first give several operator identities which extend the results of Chen and Liu, then make use of them to two -series identities obtained by the Euler expansions of and . Several -series identities are obtained involving a -series identity in Ramanujan’s Lost Notebook.