Abstract: Due to the importance of its integer order counterpart in many mathematical and engineering fields, the fractional order Hermite polynomials are studied in this paper. A fractional variation ...

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We provide a realization of fractional supersymmetry quantum mechanics of order r, where the Hamiltonian and the supercharges involve the fractional Dunkl transform as a Klein type operator. We ...

LEGENDRE_SHIFTED_POLYNOMIAL is a C++ library which evaluates the shifted Legendre polynomial. The standard Legendre polynomial P(n,x) is defined over the interval [-1,+1]. The shifted Legendre ...

Department of Physics and Materials Science, Maseno University, Maseno, Kenya. which we call the Weber-Hermite differential equation, since its general solutions are the Weber-Hermite func- tions ...

Different aspects of mathematical finance benefit from the use Hermite polynomials, and this is particularly the case where risk drivers have a Gaussian distribution. They support quick analytical ...

Compute a normalized physicist''s Hermite exponential product table. Tij = integral ( -oo < X < +oo ) exp(B*X) Hn(I,X) Hn(J,X) exp(-X*X) dx where Hn(I,X) = normalized physicist''s Hermite polynomial ...