A \(q\)-analog of Newton's series, Stirling functions and Eulerian functions

DOI10.1007/BF03323418zbMath0816.33010OpenAlexW2038731483MaRDI QIDQ1329601

Changgui Zhang, Zeng, Jiang

Publication date: 13 July 1995

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323418

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Gamma, beta and polygamma functions (33B15) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (15)

The \(q\)-versions of the Bernstein operator: from mere analogies to further developments ⋮ On the block functions generating the limit q-Lupaş operator ⋮ On the Lupaş \(q\)-transform of unbounded functions ⋮ Some identities involving \(q\)-Stirling numbers of the second kind in type B ⋮ \(q\)-Stirling numbers in type \(B\) ⋮ On the images of entire functions under the limit \(q\)-Bernstein operator ⋮ Analytical properties of the Lupaş \(q\)-transform ⋮ On the \(q\)-moment determinacy of probability distributions ⋮ \(q\)-Stieltjes classes for some families of \(q\)-densities ⋮ On the Lupaş \(q\)-transform ⋮ Moment determinacy versus \(q\)-moment determinacy of probability distributions ⋮ Euler-Mahonian statistics on ordered set partitions. II. ⋮ Développements asymptotiques \(q\)-Gevrey et séries \(Gq\)-sommables. (\(q\)-Gevrey asymptotic expansions and \(Gq\)-summable series.) ⋮ From \(q\)-Stirling numbers to the ordered multiset partitions: a viewpoint from vincular patterns ⋮ An extension of MacMahon's equidistribution theorem to ordered set partitions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jacobi functions as limit cases of q-ultraspherical polynomials
• Factorial functions and Stirling numbers of fractional orders
• Über ganze Funktionen, die in einer geometrischen Folge ganze Werte annehmen. (On entire functions assuming integer values in a geometric sequence)
• About the growth of entire functions solutions of linear algebraic \(q\)- difference equations
• A note on q-Eulerian numbers
• Eulerian numbers with fractional order parameters
• On the “maj” and “inv”q-analogues of Euierian polynomials
• On Stirling Functions of the Second Kind
• Multibasic Eulerian Polynomials
• q-Bernoulli and Eulerian Numbers

This page was built for publication: A \(q\)-analog of Newton's series, Stirling functions and Eulerian functions