On various formulas with q-integralsand their applications to q-hypergeometric functions

Autor: Thomas Ernst

We present three q-Taylor formulas with q-integral remainder. The two last proofsrequire a slight rearrangement by a well-known formula. The first formula has been given in different form by Annaby and Mansour. We give concise proofs for q-analogues

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95b9861ac6769cf01502c214f52bc50e
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-433370

A new type of Taylor series expansion

Autor: Juan J. Nieto, Iván Area, Zahra Moalemi, Mohammad Masjed-Jamei

Publikováno v: Journal of Inequalities and Applications
Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname
Investigo. Repositorio Institucional de la Universidade de Vigo
Universidade de Vigo (UVigo)
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-10 (2018)

We present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symboli

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07fac37568b0c142e1b643919997b700
http://europepmc.org/articles/PMC5954005

Taylor formula for homogeneous groups and applications (Italian Title: La Formula di Taylor per i Gruppi Omogenei ed Applicazioni)

Autor: BONFIGLIOLI, ANDREA

In this paper, we provide a Taylor formula with integral remainder in the setting of homogeneous groups in the sense of Folland and Stein. This formula allows us to give a simplified proof of the so-called `Taylor inequality'. As a by-product, we fur

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______4094::ea1f2cf5492ded4ce9ee5ed507b4901f
http://hdl.handle.net/11585/128949

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