Index Q
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-Appell functions
§17.4(iii)
-
-Bernoulli polynomials
§17.3(iii)
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-beta function
§5.18(iii)
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-binomial coefficient §17.2(ii), §26.9(ii)
-
-binomial series
§17.5
-
-binomial theorem §17.2(iii), §17.5
-
-calculus
§17.2—§17.2(vi)
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-cosine function
§17.3(i)
-
-derivatives
§17.2(iv)
-
-differential equations
§17.6(iv)
-
-Dyson conjecture
§17.14
-
-elementary functions §17.17, §17.3(i)
-
-Euler numbers
§17.3(iii)
-
-exponential function
-
-exponential function
§17.3(i)
-
-factorials
§5.18(i)
-
-gamma function
§5.18(ii)
-
-Hahn class orthogonal polynomials
§18.27—§18.27(vii)
-
-Hahn polynomials
§18.27(ii)
-
-hypergeometric function
§17.1
-
Andrews–Askey sum §17.6(i), §17.7(i)
-
Andrews’ -Dyson conjecture
§17.14
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applications
-
Bailey chain
§17.12
-
Bailey lemma
-
Bailey pairs
§17.12
-
Bailey transform
§17.12
-
Bailey–Daum -Kummer sum
§17.6(i)
-
Bailey’s sum
-
Bailey’s sum
-
Bailey’s transformation of very-well-poised
§17.9(iii)
-
balanced series
§17.4(iv)
-
bibasic sums and series §17.7(iii), §17.9(iv)
-
bilateral, see bilateral -hypergeometric function.
-
Cauchy’s sum
§17.5
-
Chu–Vandermonde sums (first and second)
-
computation
§17.18
-
constant term identities
§17.14
-
contiguous relations (Heine’s)
§17.6(iii)
-
continued fractions §17.6(vi), §17.7(ii)
-
definition
§17.4
-
differential equations
§17.6(iv)
-
Dixon’s sum
-
Dixon’s sum
-
Dougall’s sum
-
F. H. Jackson’s transformations
§17.9(i)
-
Fine’s transformations (first, second, third) §17.6(ii), §17.6(ii)—§17.6(ii)
-
Gauss’s sum
-
generalizations
§17.15
-
Heine’s transformations (first, second, third)
§17.6(ii)
-
idem function §17.1, §17.10
-
integral representations
§17.6(v)
-
integrals
§17.13
-
-balanced series
§17.4(iv)
-
mixed base Heine-type transformations
§17.9(iv)
-
nearly-poised
§17.4(iv)
-
notation
§17.1
-
-Pfaff–Saalschütz sum
§17.7(ii)
-
-Saalschütz sum
-
-Sheppard identity
§17.9(ii)
-
quintuple product identity
§17.8
-
Ramanujan’s integrals
§17.13
-
relations to other functions
-
Rogers–Fine identity
§17.6(ii)
-
Saalschützian series
§17.4(iv)
-
Sears’ balanced transformation
§17.9(iii)
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special cases
§17.7
-
three-term transformation
§17.6(ii)
-
transformations
§17.9
-
Vandermonde sum
-
very-well-poised
§17.4(iv)
-
well-poised
§17.4(iv)
-
Zeilberger–Bressoud theorem
§17.14
-
-hypergeometric orthogonal polynomials
§18.27(i)
-
-integrals
§17.2(v)
-
-Laguerre polynomials
§18.27(v)
-
applications
§17.17
-
asymptotic approximations to zeros
§18.29
-
-Leibniz rule
§17.2(iv)
-
-multinomial coefficient
§26.16
-
-Pochhammer symbol
§18.1(i)
-
-product
§18.1(i)
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-Racah polynomials
§18.28(viii)
-
applications
-
relation to -hypergeometric function
§18.28(viii)
-
-series
-
-sine function
§17.3(i)
-
-Stirling numbers
§17.3(iii)
-
-Al-Salam–Chihara polynomials
§18.28(iv)
-
quadratic characters
-
quadratic equations
§1.11(iii)
-
quadratic reciprocity law
-
quadrature
§3.5—§3.5(ix)
-
quantum chemistry
-
quantum chromo-dynamics
-
hypergeometric function
§15.18
-
quantum field theory
-
quantum gravity
-
quantum groups
-
quantum mechanics
-
quantum probability distributions
-
quantum scattering
-
hypergeometric function
§15.18
-
quantum spin models
-
quantum spins
-
quantum systems
-
quantum wave-packets
-
quark-gluon plasma
-
quartic equations
§1.11(iii)
-
quartic oscillator
-
quasiconformal mapping
-
queueing theory
-
incomplete gamma functions
§8.23
-
quintic equations
-
quotient-difference algorithm
§3.10(ii)
-
quotient-difference scheme
§3.10(ii)