Rogers–Fine identity
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1: 17.18 Methods of Computation
2: David M. Bressoud
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►His books are Analytic and Combinatorial
Generalizations of the Rogers-Ramanujan Identities, published in Memoirs of the American Mathematical Society 24, No.
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3: 17.12 Bailey Pairs
4: 17.14 Constant Term Identities
5: 17.6 Function
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Fine’s First Transformation
… ►Fine’s Second Transformation
… ►Fine’s Third Transformation
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17.6.11
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Rogers–Fine Identity
…6: 26.10 Integer Partitions: Other Restrictions
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►The set is denoted by .
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§26.10(iv) Identities
►Equations (26.10.13) and (26.10.14) are the Rogers–Ramanujan identities. …7: 18.33 Polynomials Orthogonal on the Unit Circle
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►When the Askey case is also known as the Rogers–Szegő case.
See for a more general class Costa et al. (2012).
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18.33.22
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18.33.26
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8: Bibliography R
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Combinatorial Identities.
Robert E. Krieger Publishing Co., Huntington, NY.
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Partial fractions expansions and identities for products of Bessel functions.
J. Math. Phys. 46 (4), pp. 043509–1–043509–18.
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9: 17.2 Calculus
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