Abel
Akiyama-Tanigawa
Al-Salam-Carlitz
Al-Salam-Chihara
Apery
Apostol
Apostol-Bernoulli
Apostol-Euler
Apostol-Genocchi
Appel
array type polynomials
Askey scheme
Askey-Wilson algebra
Askey-Wilson
Barnes-type
basis
Bell
Bell partial polynomials
Bernoulli
Bernstein
Bessel big q-analogues
Bessel
Binet formula
binomial
Brownian motion, Brownian motion q-analogue
Carlitz
Catalan
Cauchy
central coefficients
central factorial numbers
Chan-Chyan-Srivastava
Charlier 
Chebyshev(Tschebyscheff)
Chebyshev-Boubaker
circulant matrices
coefficients method
Cohen-Macaulay property
combinatorial theory
Comtet
congruences
connection coefficients
continued fractions
convolution
cumulants
Daehee

degenerate numbers, degenerate polynomials

Delannoy
Denert statistic
derangements, derangements q-analogues
Diophantine equations
Dobinski
Dumont-Foata
Ehrhart
elliptic (see also Jacobi)
embedding distributions, structures
Entriger
entropy
Erkus-Srivastava
Euler
Euler-Barnes
Euler-Bernoulli
Euler-Frobenius
Eulerian
Euler-Seidel
Faber
factorial generalizations (q-)numbers, (q-)polynomials
Fibonacci
Fibonacci-Lucas
Fibonomial coefficients
Fine
Frobenius
Gandhi
Gauss (see also hypergeometric)
Gegenbauer (see also ultraspherical)
Gegenbauer-Humbert
generating functions
Genocchi
Hahn
Hahn's theorem
Hankel
harmonic
Hermite
Hermite big q-polynomials
Hessenberg 
Horadam
Humbert
hypergeometric (see also Gauss)
identities, inequalities
incomplete numbers, generalized numbers, polynomials
integer

 sequences
i
nverse (reciprocal) numbers, sums, polynomials
inversion techniques
Jacobi big q-polynomials
Jacobi little q-polynomials
Jacobi (see also elliptic)
Jacobi-Stirling
Jacobsthal
Jacobsthal-Lucas
Konhauser
Krawtchouk
lacunary series
Lagrange
Laguerre little q-polynomials
Laguerre
Lah
lattice
Laurent
LDU decomposition, Cholesky factorization
Legendre
Legendre-Stirling
Lehmer
Lehner
Lengyel 
L-functions
linear algebra of certain marices
Lucas
Lucas-Bernoulli
Lucasian
Mahonian pairs, statistics
Meixner
Mellin
menage problem
mixed-type polynomials
modular
moments
Morgan-Voyce
Motzkin
Narayana
Narumi
n-bonacci numbers
Newton series
Norlund
Norlund-Bernoulli
Norlund-Euler
operational calculus
Oresme
orthogonal (q-)polynomials
partial Euler product
Pascal
paths
patterns

Pell
Pell equation, Pell-Abel equation
Pell-Lucas
permanents
permutations
Perrin
Poisson-Charlier
poly-numbers, poly-polynomials
posets
process
production matrices
q-analogue calculus
Racah coefficients
recurrence relations
renewal array, process
Riemann (see also z-function)
Riordan group (q-)analogue
RNA secondary structures, numbers
Rodrighes
Salié
Schröder
Schubert
Schur
Seidel-Arnold
Selberg
Sheffer group
Sheffer polynomial sequences
Sheffer-type
Sobolev
Somos-4 sequences
Springer
Srivastava
Srivastava-Pintér addition theorems
Stern-Brocot sequence
Stieltjes
Stirling

Stirling generalized numbers group
stochastic processes
succession rules
Sulanke
tangent numbers, tanh numbers
Tetranacci
Toda chain
Toeplitz
Toeplitz plus Hankel matrices
Touchard
transforms
Tribonacci
Tribonacci-Lucas

ultraspherical (see also Gegenbauer)
Umbral calculus
van der Laan
Vandermonde
Vieta, Vieta-Pell, Vieta-Pell_Luca polynomials
Vieta-Jacobsthal-Lucas, Vieta-Pell_Lucas polynomials
Weierstrass
Wiener chaos
Wythoff number, pair
Zernike
z-function (see also Riemann)