Digital Library of Mathematical Functions
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13 Confluent Hypergeometric FunctionsKummer Functions

§13.12 Products

13.12.1 M(a,b,z)M(-a,-b,-z)+a(a-b)z2b2(1-b2)M(1+a,2+b,z)M(1-a,2-b,-z)=1.

For generalizations of this quadratic relation see Majima et al. (2000).

For integral representations, integrals, and series containing products of M(a,b,z) and U(a,b,z) see Erdélyi et al. (1953a, §6.15.3).