On the matrix versions of q-zeta function, q-digamma function and q-polygamma function

DOI10.1142/S1793557120501429zbMath1465.33010OpenAlexW2967972962MaRDI QIDQ4985580

Vivek Sahai, Ravi Dwivedi

Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557120501429

zbMATH Keywords

\(q\)-digamma functionmatrix functional calculus\(q\)-zeta function\(q\)-polygamma function

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) (zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (1)

SOME MATRIX FAMILIES OF THE HURWITZ–LERCH ζ-FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS

Cites Work

• Asymptotics of the modified Bessel and the incomplete gamma matrix functions
• Summations for basic hypergeometric series involving a \(q\)-analogue of the digamma function
• The weighted logarithmic matrix norm and bounds of the matrix exponential
• Invertibly convergent infinite products of matrices, with applications to difference equations
• Partial differential equations for hypergeometric functions of two argument matrices
• Some properties and expansions associated with theq-digamma function
• On aq-gamma and a q-beta matrix functions
• Logarithmic Norms for Matrix Pencils
• On certain properties and expansions of zeta matrix function, digamma matrix function and polygamma matrix function
• The basic Gauss hypergeometric matrix function and its matrixq-difference equation
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