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Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60This paper aims to study the q-wavelets and the continuous q-wavelet transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[. Using the q-Riemann-Liouville and the q-Weyl transforms, we give some relations between the continuous q-wavelet transform, studied in [3], and the continuous q-wavelet transform associated with the q-Bessel operator, and we deduce formulas which give the inverse operators of the q-Riemann-Liouville and...

Inversion formulas for the spherical Radon-Dunkl transform.

Li, Zhongkai, Song, Futao (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Inversion integrals for the integral transforms involving the Meijer’s $G$ -function as kernel

R. U. Verma (1975)

Acta Universitatis Carolinae. Mathematica et Physica

Inversion of bilateral basic hypergeometric series.

Schlosser, Michael (2003)

The Electronic Journal of Combinatorics [electronic only]

Inversion techniques and combinatorial identities. A unified treatment for the 7f6-series identities.

Wen Chang Chu (1994)

Collectanea Mathematica

Inversion techniques and combinatorial identities. Jackson’s $q$ -analogue of the Dougall-Dixon theorem and the dual formulae

Wenchang Chu (1995)

Compositio Mathematica

Irrationalité de valeurs de zêta

Stéphane Fischler (2002/2003)

Séminaire Bourbaki

Les valeurs aux entiers pairs (strictement positifs) de la fonction $ζ$ de Riemann sont transcendantes, car ce sont des multiples rationnels de puissances de $π$ . En revanche, on sait très peu de choses sur la nature arithmétique des $ζ (2 k + 1)$ , pour $k \geq 1$ entier. Apéry a démontré en 1978 que $ζ (3)$ est irrationnel. Rivoal a prouvé en 2000 qu’une infinité de $ζ (2 k + 1)$ sont irrationnels, mais sans pouvoir en exhiber aucun autre que $ζ (3)$ . Il existe plusieurs points de vue sur la preuve d’Apéry ; celui des séries hypergéométriques...

Irrationality measures of $log 2$ and $π / \sqrt{3}$ .

Brisebarre, Nicolas (2001)

Experimental Mathematics

Irrationality measures of the values of hypergeometric functions

Masayoshi Hata (1992)

Acta Arithmetica

Irrationality of the roots of the Yablonskii-Vorob'ev polynomials and relations between them.

Roffelsen, Pieter (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Irrationality proof of a q-extension of ζ(2) using little q-Jacobi polynomials

Christophe Smet, Walter Van Assche (2009)

Acta Arithmetica

Isotropic random walks on affine buildings

James Parkinson (2007)

Annales de l’institut Fourier

In this paper we apply techniques of spherical harmonic analysis to prove a local limit theorem, a rate of escape theorem, and a central limit theorem for isotropic random walks on arbitrary thick regular affine buildings of irreducible type. This generalises results of Cartwright and Woess where ${\tilde{A}}_{n}$ buildings are studied, Lindlbauer and Voit where ${\tilde{A}}_{2}$ buildings are studied, and Sawyer where homogeneous trees are studied (these are ${\tilde{A}}_{1}$ buildings).

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Intertwining Operators and Polynomials Associated with the Symmetric Group.

Introduction à une théorie élémentaire des intégrales elliptiques (communication faite à M. Hermite)

Inverse Problems Involving Generalized Axial-Symmetric Helmholtz Equation

Inversion formulas for the Dunkl intertwining operator and its dual on spaces of functions and distributions.

Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets