
































Identities
Recurrence identities
Consecutive neighbors
Consecutive neighbors (nine basic relations)
Distant neighbors
Functional identities
Relations between contiguous functions
Additional relations between contiguous functions
Relations for fixed z
Relations of special kind
Reduction to polynomial
Division on even and odd parts and generalization
Generic general cases
Confluent general cases
Relations including three Kummer's solutions
Quadratic transformations with fixed a,b,z
Quadratic transformations with fixed a,c,z
Cubic transformations








HypergeometricPFQ[{},{},z]  HypergeometricPFQ[{},{b},z]  HypergeometricPFQ[{a},{},z]  HypergeometricPFQ[{a},{b},z]  HypergeometricPFQ[{a_{1}},{b_{1},b_{2}},z]  HypergeometricPFQ[{a_{1},a_{2}},{b_{1},b_{2}},z]  HypergeometricPFQ[{a_{1},a_{2}},{b_{1},b_{2},b_{3}},z]  HypergeometricPFQ[{a_{1},a_{2},a_{3}},{b_{1},b_{2}},z]  HypergeometricPFQ[{a_{1},a_{2},a_{3},a_{4}},{b_{1},b_{2},b_{3}},z]  HypergeometricPFQ[{a_{1},a_{2},a_{3},a_{4},a_{5}},{b_{1},b_{2},b_{3},b_{4}},z]  HypergeometricPFQ[{a_{1},a_{2},a_{3},a_{4},a_{5},a_{6}},{b_{1},b_{2},b_{3},b_{4},b_{5}},z]  HypergeometricPFQ[{a_{1},...,a_{p}},{b_{1},...,b_{q}},z]  

© 19982014 Wolfram Research, Inc.
