Papers by Victor H. Moll

• The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions
  (with T. Amdeberhan, A. Dixit, X. Guan, L. Jiu, A. Kuznetsov and C. Vignat) (28 pages).
  Scientia, Series A: Math. Sciences ??, 20??, ??.
  A variety of entries in the table by Gradshteyn and Ryzhik where the integrand
  contains trigonometric functions are evaluated.

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• The integrals in Gradshteyn and Ryzhik. Part 29: Chebyshev polynomials
  (with C. Vignat) (15 pages).
  Scientia, Series A: Math. Sciences ??, 20??, ??.
  A variety of entries in the table by Gradshteyn and Ryzhik where the integrand
  contains the Chebyshev polynomials are evaluated.

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• Evaluation of entries in Gradshteyn and Ryzhik employing the method of brackets
  (with I. Gonzalez and K. Kohl) (20 pages).
  Scientia, Series A: Math. Sciences 25, 2014, 65-84.
  The method of brackets is used ito evaluate a selection of entries in
  the table by Gradshteyn and Ryzhik.

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• The integrals in Gradshteyn and Ryzhik. Part 28: The confluent hypergeometric function and Whittaker functions
  (with A. Dixit) (13 pages).
  Scientia, Series A: Math. Sciences ??, 20??, ??.
  A variety of entries in the table by Gradshteyn and Ryzhik where the integrand
  contains the Whittaker function are evaluated.

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• The integrals in Gradshteyn and Ryzhik. Part 27: More logarithmic examples
  (with L. Medina) (17 pages).
  Scientia, Series A: Math. Sciences ??, 20??, ??.
  A variety of entries in the table by Gradshteyn and Ryzhik where the integrand
  contains logarithms of elementary functions are evaluated.

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• The integrals in Gradshteyn and Ryzhik. Part 26: The exponential integral
  (with K. Boyadzhiev) (12 pages).
  Scientia, Series A: Math. Sciences ??, 20??, ??.
  A variety of entries in the table by Gradshteyn and Ryzhik that contain the
  exponential integral are evaluated.

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• The integrals in Gradshteyn and Ryzhik. Part 25: Evaluation by series
  (13 pages).
  Scientia, Series A: Math. Sciences 23, 2012, 53-65.
  A variery of entries in the table by Gradshteyn and Ryzhik are evaluated
  in terms of infinite series.

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• The integrals in Gradshteyn and Ryzhik. Part 24: Polylogarithms functions
  (with K. McInturff) (7 pages).
  Scientia, Series A: Math. Sciences 23, 2012, 45-51.
  Some entries in the table by Gradshteyn and Ryzhik are evaluated
  using the polylogarithmic function.

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• The integrals in Gradshteyn and Ryzhik. Part 23: Combination of logarithms and rational functions
  (with L. Medina) (18 pages).
  Scientia, Series A: Math. Sciences 23, 2012, 1-18.
  A systematic analysis of many of the entries in the table by Gradshteyn and Ryzhik that
  have an integrand that combines logarithms and rational functions is provided.

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• The integrals in Gradshteyn and Ryzhik. Part 22: Bessel-K functions
  (with L. Glasser, K. Kohl, C. Koutschan and A. Straub) (23 pages).
  Scientia, Series A: Math. Sciences 22, 2012, 129-151.
  A systematic analysis of many of the entries in the table by Gradshteyn and Ryzhik that
  have an elementary integrand and the answer involves the Bessel-K function is provided.

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• The integrals in Gradshteyn and Ryzhik. Part 21: Hyperbolic functions
  (with K. Boyadzhiev) (19 pages).
  Scientia, Series A: Math. Sciences 22, 2012, 109-127.
  A systematic analysis of many of the entries in the table by Gradshteyn and Ryzhik that
  involve hyperbolic functions is provided.

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• The integrals in Gradshteyn and Ryzhik. Part 20: Hypergeometric functions
  (with K. Kohl) (12 pages).
  Scientia, Series A: Math. Sciences 21, 2011, 43-54.
  The evaluation of a selection of entries from the table of integrals by
  Gradshteyn and Ryzhik that involve the hypergeometric function is presented.

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• The integrals in Gradshteyn and Ryzhik. Part 19: The error function
  (with M. Albano, T. Amdeberhan and E. Beyerstedt) (18 pages).
  Scientia, Series A: Math. Sciences 21, 2011, 25-42.
  The evaluation of a selection of entries from the table of integrals by
  Gradshteyn and Ryzhik that involve the error function is presented.

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• The integrals in Gradshteyn and Ryzhik. Part 18: Some automatic proofs
  (with C. Koutschan) (19 pages).
  Scientia, Series A: Math. Sciences 20, 2011, 93-111.
  The evaluation of a selection of entries from the table of integrals by
  Gradshteyn and Ryzhik is presented using the symbolic package {\bf HolonomicFunctions}

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• The integrals in Gradshteyn and Ryzhik. Part 17: The Riemann zeta function
  (with T. Amdeberhan and K. Boyadzhiev) (11 pages).
  Scientia, Series A: Math. Sciences 20, 2011, 61-71.
  A systematic analysis of many of the entries in the table by Gradshteyn and Ryzhik that
  involve the Riemann zeta function is provided.

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• The integrals in Gradshteyn and Ryzhik. Part 16: Complete elliptic integrals
  (with Stefan Boettner) (15 pages).
  Scientia, Series A: Math. Sciences 20, 2011, 45-59.
  A systematic analysis of many of the entries in the table by Gradshteyn and Ryzhik that
  involve complete elliptic integrals is provided.

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• The integrals in Gradshteyn and Ryzhik. Part 15: Frullani integrals
  (with Matthew Albano, Tewodros Amdeberhan and Erin Beyerstedt) (7 pages).
  Scientia, Series A: Math. Sciences 19, 2010, 113-119.
  We provide evaluations of a variety of integrals that fit the Frullani type format.
  One example where the integrand does not have a limit at infinity is discussed in detail.

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• The integrals in Gradshteyn and Ryzhik. Part 14: An elementary evaluation of entry 3.411.5
  (with Tewodros Amdeberhan) (7 pages).
  Scientia, Series A: Math. Sciences 19, 2010, 97-103. (7 pages).
  We provide an elementary evaluation of a series that gives entry 3.411.5 in the table of integrals
  by I. M. Gradshteyn and Ryzhik. It involves a special value of the dilogarithm function.

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• The integrals in Gradshteyn and Ryzhik. Part 13: Trigonometric forms of the beta function
  Scientia, Series A: Math. Sciences 19, 2010, 91-96. (6 pages).
  We present the evaluation of some integrals in the table of Gradhsteyn and Ryzhik
  where the integrand involves trigonometric functions and the result is expressed in terms
  of the beta function.

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• The integrals in Gradshteyn and Ryzhik. Part 12: Some logarithmic integrals
  (with R. Posey) (8 pages).
  Scientia, Series A: Math. Sciences 18, 2009, 77-84.
  We present the evaluation of some integrals in the table of Gradhsteyn and Ryzhik
  where the integrand is the product of a rational function with comples poles and the logarithm function.

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• The integrals in Gradshteyn and Ryzhik. Part 11: The incomplete beta function
  (with K. Boyadzhiev and L. Medina) (15 pages).
  Scientia, Series A: Math. Sciences 18, 2009, 61-75.
  We present the evaluation of some integrals in the table of Gradhsteyn and Ryzhik
  that are involve the incomplete beta function.

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• The integrals in Gradshteyn and Ryzhik. Part 10: The digamma function
  Scientia, Series A: Math. Sciences 17, 2009, 45-66.
  (with L. Medina) (22 pages).
  We present the evaluation of some integrals in the table of Gradhsteyn and Ryzhik
  that are involve the digamma function ( the logarithmic derivative of the gamma function).

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• The integrals in Gradshteyn and Ryzhik. Part 9: Combinations of logarithms, rational and trigonometric functions
  (with T. Amdeberhan, J. Rosenberg, A. Straub and P. Whitworth) (18 pages).
  Scientia, Series A: Math. Sciences 17, 2009, 27-44.
  We present the evaluation of some integrals in the table of Gradhsteyn and Ryzhik
  that are combinations of logarithms and rational functions. Some trigonometric
  versions of the integrals are also presented.

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• The integrals in Gradshteyn and Ryzhik. Part 8: Combinations of powers, exponentials and logarithms
  (with A. Straub, J. Rosenberg and P. Whitworth) (10 pages).
  Scientia, Series A: Math. Sciences 16, 2008, 41-50.
  We present the evaluation of some integrals in the table of Gradhsteyn and Ryzhik
  that are combinations of powers, exponentials and logarithms.

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• The integrals in Gradshteyn and Ryzhik. Part 7: Elementary examples (with T. Amdeberhan) (14 pages).
  Scientia, Series A: Math. Sciences 16, 2008, 25-40.
  We present some elementary integrals that appear in the table of Gradhsteyn and Ryzhik.

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• The integrals in Gradshteyn and Ryzhik. Part 6: The beta function (14 pages).
  Scientia, Series A: Math. Sciences 16, 2008, 9-24.
  We present some elementary integrals that can be expressed in terms of the beta function.

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• The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals (with T. Amdeberhan and L. Medina).
  Scientia, Series A: Math. Sciences 15, 2007, 47-60.
  We present the evaluations of definite integrals involving x^p times integer powers of cos x.

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• The integrals in Gradshteyn and Ryzhik. Part 4: The gamma function
  Scientia, Series A: Math. Sciences 15, 2007, 37-46.
  We present some elementary integrals that can be expressed in terms of the gamma function.

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• The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of logarithms and exponentials
  Scientia, Series A: Math. Sciences 15, 2007, 31-36.
  We present some elementary integrals that are combinations of logarithms and exponentials.

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• The integrals in Gradshteyn and Ryzhik. Part 2: elementary logarithmic integrals
  Scientia, Series A: Math. Sciences 14, 2007, 7-15.
  We present the evaluation of elementary integrals of the form
  R(x) times log(x). The results involve the dilogarithm function.

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• The integrals in Gradshteyn and Ryzhik. Part 1: a family of logarithmic integrals
  Scientia, Series A: Math. Sciences 14, 2007, 1-6.
  We present the evaluation of a family of integrals of the form: power of log x times
  a rational function with two poles.

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