1Online Encyclopedia Riordanica

G. Della Riccia

Glossary-Index

Abel Abel-type Akiyama-Tanigawa Al-Salam-Carlitz Al-Salam-Chihara Apéry Apéry-like formulae Apostol-Bernoulli Apostol-Euler Apostol-Genocchi Apostol-type Appell array type polynomials arrays, matrices, triangles Askey scheme Askey-Wilson Askey-Wilson algebra Barnes-type basis Bell Bernoulli Bernoulli-like polynomials Bernstein Bernstein-type polynomials Bessel Binet formula binomial coefficients, multinomial coefficients binomial theorem q-analogue binomial-type, multinomial-type, polynomials Brownian motion, q-analogue Carlitz q-numbers Carlitz q-operators Catalan Catalan-like 1

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Cauchy central coefficients central factorial numbers Chan-Chyan-Srivastava polynomials Charlier Chebyshev (Tschebyscheff) Chebyshev-Boubaker Chebyshev-type classical polynomials q-analogue classical polynomials representations coefficients method, connection coefficients Cohen-Macaulay property combinatorial theory Comtet congruences continued fractions convolution cumulants Daehee degenerate numbers, degenerate polynomials Delannoy Denert statistic dérangements, q-analogues determinants Diophantine equations Dobinski-like formulas Dumont-Foata Ehrhart embedding distributions, structures Entringer Erkus-Srivastava Euler Euler-Barnes

2Online Encyclopedia Riordanica

G. Della Riccia

Glossary-Index Euler-Bernoulli Euler-Frobenius Eulerian Eulerian-Frobenius-type Eulerian-type Faber factorial generalized numbers, qanalogues, inverse generalized matrix Fibonacci Fibonacci-like, Fibonacci-type Fibonacci-Lucas Fibonomial coefficients Fine Frobenius Frobenius-type polynomials functions Gandhi Gegenbauer (ultraspherical) Gegenbauer-Humbert generating functions generating functions, bilateral, multilateral Genocchi Hahn Hahn's theorem Hankel harmonic Hermite Hermite big q-polynomials Hermite-based polynomials Hessenberg Horadam Humbert hyperFibonacci hypergeometric numbers, polynomials, q-polynomials hyperLucas hyperPell hyperPell-Lucas 2

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identities, inequalities incomplete numbers, generalized numbers, polynomials integer sequences inverse (reciprocal) numbers, sums, polynomials inversion techniques involutions in the Riordan group Jacobi Jacobi big q-polynomials Jacobi little q-polynomials Jacobi-Stirling Jacobi-type Jacobsthal Jacobsthal-Lucas Jacobsthal-type Konhauser Krawtchouk lacunary series Lagrange Laguerre Laguerre little q-polynomials Laguerre-Sobolev orthogonal polynomials Laguerre-type Lah lattice walks, paths Laurent LDU decomposition, Cholesky factorization Legendre Legendre-Stirling Lehmer Lengyel linear algebra of certain matrices linear recurrence relations Lucas Lucas-Bernoulli Lucas-like Lucasian

3Online Encyclopedia Riordanica

G. Della Riccia

Glossary-Index Mahonian pairs, statistics matrix representations, transformations Meixner-type results, polynomials mixed-type polynomials moments Morgan-Voyce Motzkin Narayana Narumi n-bonacci numbers Newton series Norlundoperational calculus operators, q-analogues Oresme orthogonal polynomials, biorthogonal polynomials, d-polynomials Pell Pell equation, Pell-Abel equation Pell-Lucas permanents permutations Perrin Poisson-Charlier polynomials, mixed-type poly-numbers, poly-polynomials posets rocess production matrices q-analogue calculus Racah coefficients recurrence relations renewal array, procresidues methodRiordan group, q-analogue Riordan-type RNA secondary structures, numbers Rodrighes formula Rook polynomials Salié Schröder 3

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Schubert Schur Sheffer group Sheffer polynomial sequences Sheffer-type Sobolev Somos-4 sequences Springer Srivastava Srivastava-Pintér addition theorems Stern-Brocot sequence Stirling Stirling generalized numbers group Stirling-type stochastic processes succession rules Sulanke tangent numbers, tanh numbers Toda chain Touchard transforms Tribonacci numbers, polynomials, tetranacci sequence trinomial coefficients Umbral calculus van der Laan Vandermonde Vieta, Vieta-Jacobsthal, Vieta-Pell polynomials Vieta-Jacobsthal-Lucas, VietaPell_Lucas polynomials Wiener homogeneous chaos Wythoff number, pair Zernike