RECURRENT RELATIONS WITH THE GENERALIZED LEGENDRE FUNCTIONS.

This paper considers τ -generalized (by Wright) ^τP_v^μ(Z) Legendre functions. By using the known properties of τ-generalized (by Wright) ₂^τF₁(a,b;c;ζ) Gauss hypergeometric function and the relation between ^τP_v^μ and ₂^τF₁ functions, the theorem of recurrent relations, as well as the theorem of differentiation formulas for these functions are formulated and proved. [ABSTRACT FROM AUTHOR]