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Showing 1 to 4 of 4 for “"Binomial Coefficient"”.

  1. A harmonic M-factorial function and applications

    … concepts, we develop a harmonic analog of the binomial coefficient and an alternate expression of the harmonic exponential function and establish several identities. We generalize from the harmonic numbers to a general time scale and demonstrate how solutions to some second order eigenvalue …

    must-thes Repository record for A harmonic M-factorial function and applications (opens in a new tab)

  2. Generalized Kummer congruences and Iwasawa invariants

    … c}\atop j}\right\rbrack$$is a binomial coefficient operator.

    uiuc Repository record for Generalized Kummer congruences and Iwasawa invariants (opens in a new tab)

  3. Hamiltonian cycles in subset and subspace graphs.

    … by Clark and Ismail's work in the 1996 paper "Binomial and Q-Binomial Coefficient Inequalities Related to the Hamiltonicity of the Kneser Graphs and their Q-Analogues," we defined subset graphs, subspace graphs, and their associated bipartite graphs. The main emphasis of this dissertation is to …

    unt Repository record for Hamiltonian cycles in subset and subspace graphs. (opens in a new tab)

  4. A Cornucopia Of Labeled Diagrams And Their Generating Polynomials

    … Schur expansion of Jack polynomials in certain binomial coefficient bases. As a result, we conjecture a bijection between tableaux and rook boards, which spurs some further exploration of quasi-Yamanouchi tableaux as combinatorial objects of their own merit. We then move to the general …

    penn Repository record for A Cornucopia Of Labeled Diagrams And Their Generating Polynomials (opens in a new tab)