Habilitation
Twin Basic Quantum Calculus and its Applications
Zusammenfassung
We give in this work some results on twin basic quantum calculus. The (p,q)-derivative, the (p,q)-integral and some (p,q)-Taylor formula are discussed. Next, we introduce and provide several results about (p,q)-Gamma and (p,q)-Beta functions. Some (p,q)-Sturm Liouville problems are introduced and some (p,q)-hypergeometric solutions are obtained. The work ends with the introduction (p,q)-Appell polynomials and some (p,q)-Laplace transforms.
Zitieren
@phdthesis{doi:10.17170/kobra-2024041810042,
author={Patrick, Njionou Sadjang},
title={Twin Basic Quantum Calculus and its Applications},
school={Kassel, Universität Kassel, Fachbereich Mathematik und Naturwissenschaften, Institut für Mathematik},
year={2024}
}
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2024-05-21T07:41:10Z 2024-05-21T07:41:10Z 2024 doi:10.17170/kobra-2024041810042 http://hdl.handle.net/123456789/15758 eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ (p,q)-Calculus (p,q)-Derivative (p,q)-Hypergeometric Series (p,q)-Sturm Liouville Problems (p,q)-Laplace transform 510 Twin Basic Quantum Calculus and its Applications Habilitation We give in this work some results on twin basic quantum calculus. The (p,q)-derivative, the (p,q)-integral and some (p,q)-Taylor formula are discussed. Next, we introduce and provide several results about (p,q)-Gamma and (p,q)-Beta functions. Some (p,q)-Sturm Liouville problems are introduced and some (p,q)-hypergeometric solutions are obtained. The work ends with the introduction (p,q)-Appell polynomials and some (p,q)-Laplace transforms. open access Patrick, Njionou Sadjang 2024-04-17 iii, 123 Seiten Kassel, Universität Kassel, Fachbereich Mathematik und Naturwissenschaften, Institut für Mathematik Koepf, Wolfram (Prof. Dr.) Sturm-Liouville-Problem Laplace-Transformation Hypergeometrische Reihe publishedVersion false
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