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Twin Basic Quantum Calculus and its Applications

Patrick, Njionou Sadjang

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.

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@phdthesis{doi:10.17170/kobra-2024041810042,
  author    ={Patrick, Njionou Sadjang},
  title    ={Twin Basic Quantum Calculus and its Applications},
  keywords ={510 and Sturm-Liouville-Problem and Laplace-Transformation and Hypergeometrische Reihe},
  copyright  ={https://rightsstatements.org/page/InC/1.0/},
  language ={en},
  year   ={2024}
}