Generalized the q-digamma and the q-polygamma functions via neutrices
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Publication:5011936
DOI10.2298/FIL1705475SzbMath1488.33048MaRDI QIDQ5011936
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Publication date: 30 August 2021
Published in: Filomat (Search for Journal in Brave)
gammapolygamma functions\(q\)-digamma functionneutricesdigamma\(q\)-polygamma functionsneutrix limits
Gamma, beta and polygamma functions (33B15) (q)-gamma functions, (q)-beta functions and integrals (33D05)
Related Items
Unnamed Item ⋮ On k-analogues of digamma and polygamma functions ⋮ Functional inequalities for the \(q\)-digamma function
Cites Work
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- Existence of the neutrix limit of the \(q\)-analogue of the incomplete gamma function and its derivatives
- Introduction to the neutrix calculus
- The neutrix limit of the \(q\)-gamma function and its derivatives
- On partial derivatives of the incomplete beta function
- Summations for basic hypergeometric series involving a \(q\)-analogue of the digamma function
- Estimating the polygamma functions for negative integers
- An extension of the incomplete beta function for negative integers
- Some properties and expansions associated with theq-digamma function
- On Defining The Incomplete Gamma Function
- On defining the incomplete Gamma function γ(−m,x−)
- Neutrix calculus and finite quantum field theory
- Generalized q-integrals via neutrices: Application to the q-beta function
- AN APPLICATION OF NEUTRIX CALCULUS TO QUANTUM FIELD THEORY