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Pregled bibliografske jedinice broj: 736784

Asymptotic expansions of integral mean of polygamma functions


Chen, Chao-Ping; Elezović, Neven; Vukšić, Lenka
Asymptotic expansions of integral mean of polygamma functions // Mathematical inequalities & applications, 18 (2015), 1; 255-266 doi:dx..org/10.7153/mia-18-19 (međunarodna recenzija, članak, znanstveni)


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Naslov
Asymptotic expansions of integral mean of polygamma functions

Autori
Chen, Chao-Ping ; Elezović, Neven ; Vukšić, Lenka

Izvornik
Mathematical inequalities & applications (1331-4343) 18 (2015), 1; 255-266

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
gamma function; psi function; polygamma functions; Bernoulli numbers and polynomials; asymptotic expansion

Sažetak
We determine the coefficients a_j(s, t) in the asymptotic expansion of integral (or differential) mean of polygamma functions. We derive the recursive relations for polynomials a_j(s, t) and we also derive the main properties of these polynomials as a consequence of the asymptotic formula for shifted variables.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
5435

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Lenka Mihoković (autor)

Avatar Url Neven Elezović (autor)

Poveznice na cjeloviti tekst rada:

doi mia.ele-math.com mia.ele-math.com

Citiraj ovu publikaciju:

Chen, Chao-Ping; Elezović, Neven; Vukšić, Lenka
Asymptotic expansions of integral mean of polygamma functions // Mathematical inequalities & applications, 18 (2015), 1; 255-266 doi:dx..org/10.7153/mia-18-19 (međunarodna recenzija, članak, znanstveni)
Chen, C., Elezović, N. & Vukšić, L. (2015) Asymptotic expansions of integral mean of polygamma functions. Mathematical inequalities & applications, 18 (1), 255-266 doi:dx..org/10.7153/mia-18-19.
@article{article, author = {Chen, Chao-Ping and Elezovi\'{c}, Neven and Vuk\v{s}i\'{c}, Lenka}, year = {2015}, pages = {255-266}, DOI = {dx.doi.org/10.7153/mia-18-19}, keywords = {gamma function, psi function, polygamma functions, Bernoulli numbers and polynomials, asymptotic expansion}, journal = {Mathematical inequalities and applications}, doi = {dx.doi.org/10.7153/mia-18-19}, volume = {18}, number = {1}, issn = {1331-4343}, title = {Asymptotic expansions of integral mean of polygamma functions}, keyword = {gamma function, psi function, polygamma functions, Bernoulli numbers and polynomials, asymptotic expansion} }
@article{article, author = {Chen, Chao-Ping and Elezovi\'{c}, Neven and Vuk\v{s}i\'{c}, Lenka}, year = {2015}, pages = {255-266}, DOI = {dx.doi.org/10.7153/mia-18-19}, keywords = {gamma function, psi function, polygamma functions, Bernoulli numbers and polynomials, asymptotic expansion}, journal = {Mathematical inequalities and applications}, doi = {dx.doi.org/10.7153/mia-18-19}, volume = {18}, number = {1}, issn = {1331-4343}, title = {Asymptotic expansions of integral mean of polygamma functions}, keyword = {gamma function, psi function, polygamma functions, Bernoulli numbers and polynomials, asymptotic expansion} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Scopus
  • Referativnyi Zhurnal – Matematika


Citati:





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