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

Abstract

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.

References in corpus (4)

• Deformation Expression for Elements of Algebras (II) --(Weyl algebra of 2m-generators)--
• Deformation Expression for Elements of Algebras (I) --(Jacobi's theta functions and *-exponential functions)--
• Deformation Expression for Elements of Algebras (III) --Generic product formula for *-exponentials of quadratic forms--
• Deformation Expression for Elements of Algebras (IV) --Matrix elements and related integrals--

Cited by in corpus (2)

• Deformation Expression for Elements of Algebras (VII) --Vacuum/Pseudo-vacuum Representations--
• Deformation Expression for Elements of Algebras (VIII) --SU(2)-vacuum and the regular representation space--