Keywords: تابع مولد; Expected penalty function; Dividend; Generating function; Recursive formula; Semi-Markov risk model
مقالات ISI تابع مولد (ترجمه نشده)
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Keywords: تابع مولد; Partition; Congruence; Generating function
Keywords: تابع مولد; Queueing system; Synchronous working vacation; Impatient customers; Generating function; Hypergeometric function
On a function introduced by Erdös and Nicolas
Keywords: تابع مولد; Distribution of divisors on short intervals; Generating function; Pythagorean triples;
The odd Lomax generator of distributions: Properties, estimation and applications
Keywords: تابع مولد; 62N01; 62N02; Generating function; Lomax model; Maximum likelihood; Order statistic; T-X family;
A note on the solution equivalence to general models for RIM quantifier problems
Keywords: تابع مولد; Fuzzy sets; OWA operator; RIM quantifier; Absolute continuity; Generating function; Minimal variability; Minimax disparity; Solution equivalence;
Characterizing the number of coloured m-ary partitions modulo m, with and without gaps
Keywords: تابع مولد; Partition; Congruence; Generating function;
Partially directed snake polyominoes
Keywords: تابع مولد; Partially directed snake polyomino; Enumeration; Generating function; Self-avoiding walk; Functional equation; Bargraph; Recurrence;
Elementary proof and application of the generating functions for generalized Hall-Littlewood functions
Keywords: تابع مولد; primary; 05E05; secondary; 55N22; 05A15; Hall-Littlewood function; Formal group law; Generating function;
Half of a Riordan array and restricted lattice paths
Keywords: تابع مولد; 05A05; 05A15; 05A10; 15A09; 15A36; Riordan array; Lukasiewicz path; Central coefficients; Catalan numbers; Generating function;
Enumerating lambda terms by weighted length of their De Bruijn representation
Keywords: تابع مولد; Lambda term; Asymptotic enumeration; Generating function; Infinitely nested radical; Boltzmann sampling;
Enumerations of peaks and valleys on non-decreasing Dyck paths
Keywords: تابع مولد; Non-decreasing Dyck path; Generating function; Valley; Peak; Fibonacci number;
Fractional Linear Birth-Death Stochastic Process-An Application of Heun's Differential Equation
Keywords: تابع مولد; fractional linear birth-death process; master equation; generating function; the waiting time (lifetime) distribution; critical fluctuations;
Some explicit and recursive formulas of the large and little Schröder numbers
Keywords: تابع مولد; primary; 11Y55; secondary; 05A15; 11B83; 11R33; 26A48; 30E20; 44A10; 44A15; Explicit formula; Recursive formula; Schröder number; Generating function;
Multivariate Riordan groups and their representations
Keywords: تابع مولد; primary; 05E40; secondary; 05A19; Generating function; Lagrange inversion; Riordan group; Schauder basis;
Some identities for multiple Hurwitz zeta values
Keywords: تابع مولد; primary; 11M32; 11M35; secondary; 11B68; Multiple Hurwitz zeta values; Multiple Hurwitz zeta-star values; Generating function;
q-difference equations for Askey-Wilson type integrals via q-polynomials
Keywords: تابع مولد; Askey-Wilson integral; q-difference equation; Generating function; q-orthogonal polynomials; q-series;
321-avoiding affine permutations, heaps, and periodic parallelogram polyominoes
Keywords: تابع مولد; affine permutation; heap; polyomino; generating function;
An Appell series over finite fields
Keywords: تابع مولد; primary; 33C65; 11T24; secondary; 11L05; 33C20; Appell series over finite fields; Reduction formula; Transformation formula; Generating function;
Lattice paths and the q-ballot polynomials
Keywords: تابع مولد; primary; 05A15; secondary; 05A19; Lattice paths; Ballot number; Catalan number; Narayana polynomial; Frobenius partition; Generating function; Reflection principle;
On the role of the central limit theorem in 3D quantum gravity
Keywords: تابع مولد; quantum gravity; coloured hard-dimers; generating function; central limit theorem; special functions;
On extended Hurwitz-Lerch zeta function
Keywords: تابع مولد; Abel's summation formula; Complete monotonicity; Extended beta function; Extended Hurwitz-Lerch zeta function; Generating function; Lindelöf-Wirtinger expansion;
Fuss-Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group
Keywords: تابع مولد; 05A15; 05A05; 15B36; 15A06; 05A19; 11B83; Riordan group; Generating function; Fundamental theorem of Riordan arrays; Catalan numbers; Fuss-Catalan numbers; Fuss-Catalan matrices; Stabilizer;
Homogeneous q-partial difference equations and some applications
Keywords: تابع مولد; 05A30; 11B65; 33D15; 33D45; 39A13; Homogeneous q-partial difference equation; Generating function; q-hypergeometric polynomial; Askey-Roy integral; Andrews-Askey integral; Ramanujan's integral; Moment integral;
A new generating function for calculating the Igusa local zeta function
Keywords: تابع مولد; Igusa local zeta function; Generating function; Quadratic form; p-Adic field;
On the von Staudt–Clausen's theorem related to q-Frobenius–Euler numbers
Keywords: تابع مولد; 11S80; 11B68Fermionic p-adic q -integral on ZpZp; Frobenius–Euler numbers; q-Frobenius–Euler numbers; Von Staudt–Clausen's theorem; Kummer congruence; Generating function
Shift operators defined in the Riordan group and their applications
Keywords: تابع مولد; 05A15; 05A05; 15B36; 15A06; 05A19; 11B83Riordan arrays; Riordan group; Generating function; Shift matrices; Production matrix; Bell subgroup; Chu–Vandermonde identity; Format Last Theorem; Beal Conjecture; Riordan involutions; Riordan pseudo-involutions
On algorithms for enumerating BC-subtrees of unicyclic and edge-disjoint bicyclic graphs
Keywords: تابع مولد; Block-cutpoint-tree; BC-subtrees; Unicyclic graphs; Edge-disjoint bicyclic graphs; Generating function; Enumeration
Formulas and identities involving the Askey–Wilson operator
Keywords: تابع مولد; 33C45; 33D45; 33Dxx; 30E20Askey–Wilson operator; Askey–Wilson polynomial; Basic hypergeometric series; Cooper's formula; Generating function; Integration by parts; Rodriguez formula; Summation theorem; Transformation
Generating function and a Rodrigues formula for the polynomials in dd-dimensional semiclassical wave packets
Keywords: تابع مولد; Semiclassical wave packets; Generating function; Rodrigues formula
Shapes of topological RNA structures
Keywords: تابع مولد; RNA shape; Uniform generation; Generating function; Genus; Tree
Unimodality of partitions in near-rectangular Ferrers diagrams
Keywords: تابع مولد; Integer partition; Unimodality; Generating function;
Averaging structure in the 3x+13x+1 problem
Keywords: تابع مولد; 3x+13x+1; Iteration; Collatz; Montel's Theorem; Generating function
Generating functions from the viewpoint of Rota–Baxter algebras
Keywords: تابع مولد; Generating function; Rota–Baxter algebra; Stirling number; Partition
Proof of Stenger's conjecture on matrix I(â1) of Sinc methods
Keywords: تابع مولد; 15A18; 15A42; 15B05; 15B57; 41A30; 65F15; 65T40; Sinc methods; Sinc matrix; Eigenvalue localization; Toeplitz matrix; Skew symmetry; Generating function;
Semistability of switched linear systems with application to PageRank algorithms
Keywords: تابع مولد; Semistability; Switched systems; Stability; Generating function; PageRank algorithm
Optimal tracking and formation keeping near a general Keplerian orbit under nonlinear perturbations
Keywords: تابع مولد; Formation keeping; Generating function; Nonlinear optimal control
Enumeration of polyominoes inscribed in a rectangle
Keywords: تابع مولد; Inscribed polyomino; Enumeration; Rectangle; Generating function; Lattice tree; Minimal area
Notes on Askey–Roy integral and certain generating functions for qq-polynomials
Keywords: تابع مولد; Askey–Roy integral; Generating function; Recurring formula; Al-Salam–Carlitz polynomial; U(n+1)U(n+1) type generating function
Log-convexity of Aigner-Catalan-Riordan numbers
Keywords: تابع مولد; 15A45; 05A20; 05A10; 15B36; 05A15; Log-convexity; TP2 matrix; Catalan-like number; Riordan array; Generating function;
A note on generalized q-difference equations for q-beta and Andrews–Askey integral
Keywords: تابع مولد; q-difference equation; q-exponential operator; Ramanujanʼs q-beta integral; Andrews–Askey integral; Generating function; Al-Salam–Carlitz polynomial; q-Chu–Vandermonde formula
The Lomax generator of distributions: Properties, minification process and regression model
Keywords: تابع مولد; Estimation; Generating function; Lomax distribution; Lomax-normal; Minification process; Regression model;
Random walks in the quarter plane, discrete harmonic functions and conformal mappings
Keywords: تابع مولد; primary; 60G50; 31C35; secondary; 60G40; 30F10; Random walk in the quarter plane; Discrete harmonic function; Classical harmonic function; Generating function; Martin boundary; Exit time; Conformal mapping;
Limit shape of random convex polygonal lines: Even more universality
Keywords: تابع مولد; Convex lattice polygonal line; Limit shape; Multiplicative measures; Local limit theorem; Möbius inversion formula; Generating function; Cumulants
The Akiyama-Tanigawa matrix and related combinatorial identities
Keywords: تابع مولد; 05A15; 05A19; 11B73; The Akiyama-Tanigawa matrix; Generating function; r-Stirling numbers of the second kind;
Exact enumeration of cherries and pitchforks in ranked trees under the coalescent model
Keywords: تابع مولد; Binary trees; Coalescent process; Enumeration; Generating function; Population genetics; Neutral model
The busy period of an M/M/1 queue with balking and reneging
Keywords: تابع مولد; Busy period; Balking; Reneging; M/M/1 queue; Generating function
Yule-generated trees constrained by node imbalance
Keywords: تابع مولد; Binary rooted tree; Yule model; Tree imbalance; Subtree; Generating function
The topological filtration of γ-structures
Keywords: تابع مولد; γ-Structure; Genus filtration; Irreducible shadow; Generating function; Singularity analysis; Central limit theorem;
Generating functions for multi-labeled trees
Keywords: تابع مولد; Phylogenetic tree; Multi-labeled tree; MUL-tree; Generating function