Pfaff's method. I: The Mills-Robbins-Rumsey determinant.

DOI10.1016/S0012-365X(98)00133-2zbMath1069.15009OpenAlexW2127462597MaRDI QIDQ1584472

George E. Andrews

Publication date: 2 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(98)00133-2

zbMATH Keywords

\({_5F_4}\) hypergeometric seriesMills-Robbins-Rumsey determinantPfaff's method

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items

Pfaff's method. II: Diverse applications, The extended Zeilberger algorithm with parameters, Inversion techniques and combinatorial identities: Balanced hypergeometric series., A simple proof of Andrews's \(_5F_4\) evaluation, A Proof of a Conjecture of Knuth, Binomial convolutions and determinant identities

Cites Work

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• The story of 1,2,7,42,429,7436,..
• Enumeration of a symmetry class of plane partitions
• Plane partitions. III: The weak Macdonald conjecture
• Determinants in plane partition enumeration
• Determinant identities
• Plane partitions. V: The TSSCPP conjecture
• Nonintersecting paths, pfaffians, and plane partitions
• The enumeration of totally symmetric plane partitions
• Further determinants with the averaging property of Andrews-Burge
• Pfaff's method. III: Comparison with the WZ method
• Pfaff's method. II: Diverse applications
• Rational Functions Certify Combinatorial Identities