Index Q
-
-Appell functions §17.4(iii)
-
-Bernoulli polynomials ¶ ‣ §17.3(iii)
-
-beta function §5.18(iii)
-
-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)
-
-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
-
applications
-
Bailey chain ¶ ‣ §17.12
-
Bailey–Daum
-Kummer sum ¶ ‣ §17.6(i)
-
Bailey lemma
-
Bailey pairs ¶ ‣ §17.12
-
Bailey’s
sum
-
Bailey’s
sum
-
Bailey’s transformation of very-well-poised
¶ ‣ §17.9(iii)
-
Bailey transform ¶ ‣ §17.12
-
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)
-
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)
-
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)
-
-Racah polynomials §18.28(viii)
-
applications
-
relation to
-hypergeometric function §18.28(viii)
-
-series
-
-sine function ¶ ‣ §17.3(i)
-
-Stirling numbers ¶ ‣ §17.3(iii)
-
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)
-
-Al-Salam–Chihara polynomials §18.28(iv)