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1: 24.1 Special Notation
Bernoulli Numbers and Polynomials
The origin of the notation B n , B n ( x ) , is not clear. …
Euler Numbers and Polynomials
Its coefficients were first studied in Euler (1755); they were called Euler numbers by Raabe in 1851. The notations E n , E n ( x ) , as defined in §24.2(ii), were used in Lucas (1891) and Nörlund (1924). …
2: Bibliography J
  • J. D. Jackson (1999) Classical Electrodynamics. 3rd edition, John Wiley & Sons Inc., New York.
  • L. Jager (1997) Fonctions de Mathieu et polynômes de Klein-Gordon. C. R. Acad. Sci. Paris Sér. I Math. 325 (7), pp. 713–716 (French).
  • N. L. Johnson, S. Kotz, and N. Balakrishnan (1994) Continuous Univariate Distributions. 2nd edition, Vol. I, John Wiley & Sons Inc., New York.
  • D. S. Jones (1986) Acoustic and Electromagnetic Waves. Oxford Science Publications, The Clarendon Press Oxford University Press, New York.
  • B. R. Judd (1975) Angular Momentum Theory for Diatomic Molecules. Academic Press, New York.
  • 3: Bibliography D
  • H. Davenport (2000) Multiplicative Number Theory. 3rd edition, Graduate Texts in Mathematics, Vol. 74, Springer-Verlag, New York.
  • P. J. Davis (1975) Interpolation and Approximation. Dover Publications Inc., New York.
  • P. Deligne, P. Etingof, D. S. Freed, D. Kazhdan, J. W. Morgan, and D. R. Morrison (Eds.) (1999) Quantum Fields and Strings: A Course for Mathematicians. Vol. 1, 2. American Mathematical Society, Providence, RI.
  • L. E. Dickson (1919) History of the Theory of Numbers (3 volumes). Carnegie Institution of Washington, Washington, D.C..
  • P. Dienes (1931) The Taylor Series. Oxford University Press, Oxford.
  • 4: Antony Ross Barnett
     1938 in Christchurch, New Zealand, d.  2018) was Senior Research Fellow in the Mathematics Department, University of Waikato, Hamilton, New Zealand. …before returning to New Zealand. Barnett’s research interests included number theory and special functions. …
    5: Frank Garvan
    He did his Masters degree with Mike Hirschhorn (University of New South Wales). …
  • 6: Morris Newman
     1924 in Brooklyn, New York, d.  2007) received his early training in mathematics from New York University and Columbia University, obtaining his Ph. … He served as Associate Editor for Combinatorics and Number Theory for the DLMF project. …
    7: Preface
    The new DLMF (Digital Library of Mathematical Functions) will appear in a hardcover edition and as a free electronic publication on the World Wide Web. The authors will review the relevant published literature and produce approximately twice the number of formulas that were contained in the original Handbook. …
    8: DLMF Project News
    error generating summary
    9: Bibliography R
  • H. Rademacher (1973) Topics in Analytic Number Theory. Springer-Verlag, New York.
  • E. D. Rainville (1960) Special Functions. The Macmillan Co., New York.
  • F. E. Relton (1965) Applied Bessel Functions. Dover Publications Inc., New York.
  • P. Ribenboim (1979) 13 Lectures on Fermat’s Last Theorem. Springer-Verlag, New York.
  • J. Riordan (1958) An Introduction to Combinatorial Analysis. John Wiley & Sons Inc., New York.
  • 10: 27.13 Functions
    §27.13(i) Introduction
    The subsections that follow describe problems from additive number theory. …
    §27.13(ii) Goldbach Conjecture
    §27.13(iii) Waring’s Problem
    Also, Milne (1996, 2002) announce new infinite families of explicit formulas extending Jacobi’s identities. …