Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical TablesVast compendium  29 sets of tables, some to as high as 20 places. 
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Though somewhat dated, this is the goto book for Bessel/Hankel function tables, and tabulations of other important/magical functions like the gamma function, Euler's integral, the hypergeometric function, etc. The functions are always accompanied by a definition of the function, the roots of the function, the approximate representations, tabulated values, and more. The plots still look very funky in their coarse representations, but there are references for almost everything discussed and plotted. Is it prettier than Alpha or Mathworld? No, but the access time to get what you wanted will often be lower with a printed volume like this. Still a useful reference volume.
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http://www.math.sfu.ca/~cbm/aands/toc.htm
Contents
1 Mathematical Constants  2 
Physical Constants and Conversion Factors  5 
Elementary Transcendental Functions  65 
Exponential Integral and Related Functions  227 
Gamma Function and Related Functions  253 
Error Function and Fresnel Integrals  295 
Legendre Functions  331 
Bessel Functions of Integer Order  355 
Weierstrass Elliptic and Related Functions  627 
Parabolic Cylinder Functions  685 
Mathieu Functions  721 
Spheroidal Wave Functions  751 
Orthogonal Polynomials  771 
Bernoulli and Euler Polynomials Riemann Zeta Function  803 
Combinatorial Analysis  821 
Numerical Interpolation Differentiation and Integration  875 
Bessel Functions of Fractional Order  435 
Integrals of Bessel Functions  479 
Struve Functions and Related Functions  495 
Confluent Hypergeometric Functions  503 
Coulomb Wave Functions  537 
Hypergeometric Functions  555 
Jacobian Elliptic Functions and Theta Functions  567 
Elliptic Integrals  587 
Probability Functions  925 
Miscellaneous Functions  997 
Scales of Notation  1011 
Laplace Transforms  1019 
1031  
1044  
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Common terms and phrases
0.ooooo Abscissas arccos arccosh arcsin arctan Asymptotic Expansions BESSEL FUNCTIONS—ORDERS Bureau of Standards Cambridge Univ chapter Chebyshev Polynomials CIRCULAR SINES CM CM coefficients COMPLEX ARGUMENTS Compute CONFLUENT HYPERGEOMETRIC FUNCTION cosh COSINES FOR RADIAN coth Derivatives Differential Equation E. T. Whittaker Elliptic Integrals England erfc Error Function evaluate Example EXPONENTIAL FUNCTION EXPONENTIAL INTEGRALS Factors Formulas func FUNCTION Table Fundamental Rectangle G. N. Watson given Hyperbolic Functions Jacobian Elliptic Functions linear interpolation LOGARITHMS Mathematical Properties Mathematical Tables Mathieu functions MODIFIED BESSEL modular angle National Bureau Numerical Methods obtained ooooo ooooo OOOOO orthogonal polynomials parameter permission Phys POWERS AND ROOTS Press primitive roots real halfperiod recurrence relation second kind significant figures sin2 SINES AND COSINES sinh solutions Spheroidal Tables Aids Comp tanh Theta Functions tions U.S. Government Printing York zero