Deformation Expression for Elements of Algebras (V) - Diagonal matrix calculus and $*$-special functions -

Akira Yoshioka; Hideki Omori; Naoya Miyazaki; Yoshiaki Maeda

arxiv: 1111.1806 · v1 · pith:FMUBBNKFnew · submitted 2011-11-08 · 🧮 math-ph · math.MP

Deformation Expression for Elements of Algebras (V) - Diagonal matrix calculus and *-special functions -

Hideki Omori , Yoshiaki Maeda , Naoya Miyazaki , Akira Yoshioka This is my paper

classification 🧮 math-ph math.MP

keywords functionsspecialexponentialalgebrascalculusdefinedefineddeformation

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In this note, we are interested in the *-version of various special functions. Noting that many special functions are defined by integrals involving the exponential functions, we define *-special functions by similar integral formula replacing exponential functions by *-exponential functions.

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Deformation Expression for Elements of Algebras (V) - Diagonal matrix calculus and *-special functions -

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