Deformation Expression for Elements of Algebras (V) - Diagonal matrix   calculus and $*$-special functions -
  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. 
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, Akira Yoshioka
math-ph math.MP