Special Functions see also Abelian Functions, Bessel Functions, Elliptic Functions, Function , Hypergeometric Functions, Modular Functions Andrews, Larry C. Special Functions for Engineers and Applied Mathematics. New York: Macmillan, 1985. $42.95. Artin, Emil. The Gamma Function. New York: Holt, Rinehart and Winston, 1964. 39 p. $?. Askey, Richard. Orthogonal Polynomials and Special Functions. Philadelphia: Society for Industrial and Applied Mathematics, 1975. 110 p. $23.25. Babister, A. W. Transcendental Functions Satisfying Nonhomogeneous Linear Differential Equations. New York: Macmillan, 1967. 414 p. Bell, W.W. Special Functions for Scientists and Engineers. London: Van Nostrand, 1968. Campbell, Robert. Théorie générale de l'équation de Mathieu et de quelques autres équations différentielles de la mécanique. Paris: Masson, 1955. 287 p. Davis, H.T. Tables of Higher Mathematical Functions. Bloomington, IN: Principia Press, 1935. Vol. 2 contains much on Bernoulli numbers and polynomials. Davis, Philip J. The Schwarz Function and Its Applications. Washington, DC: Math. Assoc. Amer., 1974. 228 p. $?. Dunkl, Charles; Ismail, Mourad; and Wong, Roderick (Eds.). Proceedings of the International Workshop Special Functions, Hong Kong, 21-25 June 1999. Singapore: World Scientific, 2000. 438 p. $?. Erdélyi, Arthur; Magnus, Wilhelm; Oberhettinger, Fritz; and Tricomi, Francesco G. Higher Transcendental Functions, Vol. 1. Malabar, FL: Krieger, 1981. $115. Erdélyi, Arthur; Magnus, Wilhelm; Oberhettinger, Fritz; and Tricomi, Francesco G. Higher Transcendental Functions, Vol. 2. Malabar, FL: Krieger, 1981. Erdélyi, Arthur; Magnus, Wilhelm; Oberhettinger, Fritz; and Tricomi, Francesco G. Higher Transcendental Functions, Vol. 3. Malabar, FL: Krieger, 1981. Hauss, Michael. Verallgemeinerte Stirling, Bernoulli und Euler Zahlen, deren Anwendungen und schnell konvergente Reihen für Zeta Funktionen. Aachen, Germany: Verlag Shaker, 1995. 208 p. ISBN: 3826508637. $?. Henrici, Peter. Applied and Computational Complex Analysis: Special Functions, Integral Transforms, Asymptotics, Continnued Fractions. New York: Wiley, 1991. $64.95. Hobson, E.W. The Theory of Spherical and Ellipsoidal Harmonics. New York: Chelsea, 1955. $?. Hochstadt, Harry. The Functions of Mathematical Physics. New York: Dover, 1986. 322 p. $9.95. Humbert, Pierre. Fonctions de Lamé et Fonctions de Mathieu. Paris: Gauthier-Villars, 1926. 58 p. Fascicule 10 of the Mémorial des Sciences mathématiques. Lagrange, René. Polynomes et fonctions de Legendre. Paris: Gauthier-Villars, 1939. 83 p. Fascicule 97 of the Mémorial des Sciences mathématiques. Larson, Ronald E.; Hostetler, Robert P.; and Edwards, Bruce H. Calculus: Early Transcendental Functions. DC Heath, 1995. 1266 p. $118.40. Lebedev, Nikolai Nikolaevich. Special Functions and Their Applications, rev. English ed. New York: Dover, 1972. 308 p. $9.95. Lewin, L. Polylogarithms and Associated Functions. 1981. $?. Lewin, L. Structural Properties of Polylogarithms. Providence, RI: Amer. Math. Soc., 1991. $133. Luke, Yudell L. The Special Functions and their Approximations, Vol. 1. New York: Academic Press, 1969. 349 p. Out of print. An updated supplement to that portion of AMS 55 (Abramowitz and Stegun) dealing with mathematical functions. $?. Luke, Yudell L. The Special Functions and their Approximations, Vol. 2. New York: Academic Press, 1969. Out of print. An updated supplement to that portion of AMS 55 (Abramowitz and Stegun) dealing with mathematical functions. Magnus, Wilhelm and Oberhettinger, Fritz. Formulas and Theorems for the Special Functions of Mathematical Physics, 2nd ed. Now out in 3rd ed. New York: Springer-Verlag, 1949. 172 p. Magnus, Wilhelm; Oberhettinger, Fritz; and Soni, R.P. Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd ed. Out of print. New York: Springer-Verlag, 1966. ISBN: 0387035184. $46. Mathai, A.M. A Handbook of Generalized Special Functions for Statistical and Physical Sciences. Clarendon Press, 1993. $59.95. McLachlan, N.W. Theory and Application of Mathieu Functions. New York: Dover, 1964. 401 p. Miller, Willard Jr. Symmetry and Separation of Variables. Reading MA: Addison-Wesley, 1977. 285 p. Vol. 4 of Encyclopedia of Mathematics and its applications, Gian-Carlo Rota, Editor. $?. Nielsen, N. Handbuch der Theorie der Gammafunktion. New York: Chelsea, 1965. 328 p. Nielsen, Niels. Théorie des fonctions métasphériques. Paris: Gauthier-Villars, 1911. 212 p. Nielsen, Niels. Traité élémentaire des nombres de Bernoulli. Paris: Gauthier-Villars, 1923. 398 p. Nikiforov, Arnold F. and Uvarov, Vasili B. Special Functions of Mathematical Physics: A Unified Introduction with Applications. Boston, MA: Birkhäuser, 1988. $140. Olver, Frank W.J. Asymptotics and Special Functions. New York: Academic Press, 1997. 225 p. $69. Prudnikov, A.P.; Brychkov, Yu. A.; and Marichev, O.I. Integrals and Series, Vol. 1: Elementary Functions. New York: Gordon and Breach, 1986. 798 p. $386. Prudnikov, A.P.; Brychkov, Yu. A.; and Marichev, O.I. Integrals and Series, Vol. 2: Special Functions. New York: Gordon and Breach, 1990. Out of print. $?. Prudnikov, A.P.; Brychkov, Yu. A.; and Marichev, O.I. Integrals and Series, Vol. 3: More Special Functions. New York: Gordon and Breach, 1989. 800 p. $200. Prudnikov, A.P.; Brychkov, Yu. A.; and Marichev, O.I. Integrals and Series, Vol. 4: Direct Laplace Transforms. New York: Gordon and Breach, 1992. $253. Prudnikov, A.P.; Brychkov, Yu. A.; and Marichev, O.I. Integrals and Series, Vol. 5: Inverse Laplace Transforms. New York: Gordon and Breach, 1992. $253. Rainville, E.D. Special Functions. New York: Chelsea, 1971. $27.50. Robin, Louis. Fonctions sphériques de Legendre et fonctions sphéroïdales, 3 vols. Paris: Gauthier-Villars, 1958-59. 236+384+289 p. Rothe, R.; Ollendorff, F.; and Pohlhausen, K. Theory of Functions as Applied to Engineering Problems. New York: Dover, 1961. 189 p. Out of print. Orthogonal Functions, rev. English ed. New York: Dover, 1991. 411 p. $9.95 Shervatov, V.G. Hyperbolic Functions. Boston, MA: D.C. Heath and Co., 1963. 53 p. Slavyanov, Sergei Yu. and Lay, Wolfgang. Special Functions: A Unified Theory Based on Singularities. Oxford, England: Oxford University Press, 2000. 293 p. $?. Snow, Chester. Hypergeometric and Legendre Functions with Applications to Integral Equations of Potential Theory. Washington, DC: USGPO, 1952. 427 p. Sternberg, Wolfgang and Smith, Turner Linn. The Theory of Potential and Spherical Harmonics, 2nd ed. Toronto: University of Toronto Press, 1946. Stratton, Julius Adams. ``Spheroidal Functions.''Proc. Nat. Acad. Sci. U.S.A., 21, 1951-1956, 1935. Stratton, Julius Adams; Morse, M.; Chu, L.J.; and Hunter, R.A. Elliptic Cylinder and Spheroidal Wave Functions, Including Tables of Separation Constants and Coefficients. New York: Wiley, 1941. Stratton, Julius Adams. Spheroidal Wave Functions, Including Tables of Separation Constants and Coefficients. New York: Technology Press of MIT and Wiley, 1956. Talman, James D. Special Functions: A Group Theoretic Approach. New York: W. A. Benjamin, 1968. 260 p. Temme, Nico M. Special Functions: An Introduction to the Classical Functions of Mathematical Physics. New York: Wiley, 1996. 374 p. $84.95. Thompson, William J. Atlas for Computing Mathematical Functions: An Illustrated Guide for Practitioners with Programs in C and Mathematica. With CD-ROM. New York: Wiley, 1997. 903 p. $145. Thompson, William J. Atlas for Computing Mathematical Functions: An Illustrated Guide for Practitioners with Programs in Fortran 90 and Mathematica. With CD-ROM. New York: Wiley, 1997. 904 p. $145. Todhunter, Isaac. The Functions of Laplace, Lamé, and Bessel. 1875. Tölke, Friedrich. Praktische Funktionenlehre, erster Band: Elementare transzendente Funktionen, zweite, strak erweiterte Auflage. Berlin: Springer-Verlag, 1950. 440 p. Vilenkin, N.J. Special Functions and the Theory of Group Representations. Providence, RI: Amer. Math. Soc, 1968. 613 p. $59. Wang, Z.X. and Guo, D.R. Special Functions. Singapore: World Scientific, 1989. 710 p. $101. Zhang, Shanjie. Computation of Special Functions. New York: Wiley, 1996. 717 p. $89.95.