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Hankel Transform in Quantum Calculus and Applications

Haddad, Meniar (2006)

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 44A15, 33D15, 81Q99This paper is devoted to study the q-Hankel transform associated with the third q-Bessel function called also Hahn-Exton function. We use the q- approximation of unit for establishing a q-inverse formula of this transform. Moreover, we establish the related q-Parseval theorem.

Heine's basic transform and a permutation group for q-harmonic series

Wadim Zudilin (2004)

Acta Arithmetica

Heisenberg uncertainty principles for some $q^{2}$ -analogue Fourier transforms.

Binous, Wafa (2008)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Hurwitz and Tasoev continued fractions with long period.

Komatsu, Takao (2006)

Mathematica Pannonica

HYP and HYPQ. Mathematica packages for the manipulation of binomial sums and hypergeometric series respectively $q$ -binomial sums and basic hypergeometric series.

Krattenthaler, C. (1993)

Séminaire Lotharingien de Combinatoire [electronic only]

Hypergeometric $τ$ -functions of the $q$ -Painlevé system of type $E_{7}^{(1)}$ .

Masuda, Tetsu (2009)

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

Hypergeometric $τ$ functions of the $q$ -Painlevé systems of type ${(A_{2} + A_{1})}^{(1)}$ .

Nakazono, Nobutaka (2010)

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

Displaying 1 – 7 of 7

Hankel Transform in Quantum Calculus and Applications

Heine's basic transform and a permutation group for q-harmonic series

Heisenberg uncertainty principles for some q 2 -analogue Fourier transforms.

Hurwitz and Tasoev continued fractions with long period.

HYP and HYPQ. Mathematica packages for the manipulation of binomial sums and hypergeometric series respectively q -binomial sums and basic hypergeometric series.

Hypergeometric τ -functions of the q -Painlevé system of type E 7 ( 1 ) .

Hypergeometric τ functions of the q -Painlevé systems of type ( A 2 + A 1 ) ( 1 ) .

Currently displaying 1 – 7 of 7

Heisenberg uncertainty principles for some $q^{2}$ -analogue Fourier transforms.

HYP and HYPQ. Mathematica packages for the manipulation of binomial sums and hypergeometric series respectively $q$ -binomial sums and basic hypergeometric series.

Hypergeometric $τ$ -functions of the $q$ -Painlevé system of type $E_{7}^{(1)}$ .

Hypergeometric $τ$ functions of the $q$ -Painlevé systems of type ${(A_{2} + A_{1})}^{(1)}$ .