Certain Hypergeometric Functions of four Variables
Some Integral Representations and Hypergeometric Functions of four Variables
On a q-deformed harmonic oscillator with variable linear momentum.
The generalised ellipsoidal wave equation [0,3,1].
Explicit solutions are obtained of the linear differential equation of the second order with three regular singularities and one irregular singularity of the first type. The behavior at the point at infinity is discussed. An important special case is an algebraic form of the ellipsoidal wave equation.
Four-term recurrence relations for hypergeometric functions of the second order. II.
The recent work on four-term recurrence relations for the second order functions of hypergeometric type undertaken by the author is developed from a slightly different point of view also using generating functions. The direction of future prospects is indicated.
Four-term recurrence relations for hypergeometric functions of the second order. I.
Four-term recurrence relations for hypergeometric functions of the second order are deduced from generating functions involving elementary functions. Generalisations are indicated and an example is given of a five-term recurrence for the confluent hypergeometric function.
A generalization of the Weber-Schafheitlin integral.
A transformation formula relating two Lauricella functions
Gli Autori dimostrano che le funzioni , di Lauricella in n variabili sono legate linearmente. I casi , erano noti; il caso è nuovo.
New generating functions for multivariate biorthogonal polynomials on the -sphere.
Generalized Neumann and Kapteyn expansions.
Transformations of certain generalized Kampé de Fériet functions. II.
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