Completely Monotonic Fredholm Determinants

DOI10.1007/978-3-030-49716-3_11zbMath1481.33010OpenAlexW3174885961MaRDI QIDQ3382747

Ruiming Zhang, Mourad E. H. Ismail

Publication date: 21 September 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-49716-3_11

zbMATH Keywords

orthogonal polynomialsintegral equationsrandom matricesFreud weights

Mathematics Subject Classification ID

Random matrices (algebraic aspects) (15B52) Fredholm integral equations (45B05) Monotonic functions, generalizations (26A48) Other special orthogonal polynomials and functions (33C47)

Cites Work

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• Orthogonal polynomials associated with the Rogers-Ramanujan continued fraction
• Ramanujan's ``Lost notebook. VIII: The entire Rogers-Ramanujan function
• Ramanujan's ``lost notebook. IX: The partial theta function as an entire function
• Zeros of entire functions and a problem of Ramanujan
• Sums of zeros for certain special functions
• Using integrals of squares of certain real-valued special functions to prove that the P\'olya \Xi^*(z) function, the functions K_{iz}(a), a > 0, and some other entire functions have only real zeros
• 𝑞-Bessel functions and Rogers-Ramanujan type identities
• Integral and series representations of 𝑞-polynomials and functions: Part II Schur polynomials and the Rogers-Ramanujan identities

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