New Online Book! Handbook of Mathematical Functions (AMS55) Conversion & Calculation Home >> Reference Information Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55) Purchase the electronic edition of this book in Adobe PDF format! FIRST | PREVIOUS | NEXT | LAST | CONTENTS | PAGE | ABOUT | SMALL | MEDIUM | LARGE Below is the OCR-scanned text from this page: Subject Index A Page Adam’s formulas- _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 896 Airy functions _ _ _ _ - _ - - - - - _ - _ _ _ _ _ 367,446,510,540, 689 ascending series for _ _ _ _ - _ - _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 446 ascending series for integrals of _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 447 asymptotic expansions of.._- _ _ - - _ _ _ _ _ _ _ - _ _ _ - _ _ 448 asymptotic expansions of modulus and phase-_- 449 asymptotic forms of integrals of _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 449 asymptotic forms of related functions- - - _ - - - _ _ - 450 complex zeros and associated values of Bi(z) and B i ’ ( z ) _ ~ ~ ~ ~ ~ _ ~ _ ~ ~ ~ ~ ~ ~ ~ ~ ~ _ ~ ~ ~ ~ ~ ~ ~ 478 computation of _ _ _ _ - - - - _ - - - _ _ _ _ _ _ _ _ - _ - _ - _ _ _ _ __ 454 computation of zeros of-- -__________----____. 454 definitions----___----------------_--------~_ 446 differential equations- - - _ - - - _ _ - _ _ _ _ _ _ _ _ _ _ _ _ 446,448 446 447 448 449 448 446 447 475 478 448 446 450 446 478 447 18 879 498 498 89 14 18 18 18 18 18 16 826 840 Arithmetic-geometric mean- - - 571,577, 578, 580, 598, 601 Arithmetic mean _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 10 Arithmetic progression- - _ _ _ _ _ _ _ _ _ - _ _ _ _ _ _ _ _ _ _ _ _ - 10 Associated Legendre functions- - - - _ _ _ _ _ _ _-______ 331 Asymptotic expansions _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ - _ _ _ _ _ _ _ _ _ 15 (see Legendre functions) Page 822 510 804 810 803 804 809 804 804 804 805 804 805 805 804 806 805 806 804 as parabolic cylinder functions- _ _ _ _ _ _ _ _ _ _ _ _ _ 692, 697 definite integrals- _ - - _ _ - _ _ _ _ _ _ _ - _ _ _ _ _ _ _ _ _ _ _ _ _ 485 modified ___-____-___-___-___-------_---__- 374, 509 notation for _________________________________ 358 of fractional order, _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 437 of the first kind _-_---_______-_____________ 358, 509 of the second kind _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 358, 509 of the third kind _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 358,510 orthogonality properties of _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 485 representations in terms of Airy functions- - _ _ _ _ 447 spherical- - _______________________________ 437,309 Bessel functions of half-integer order_- _ - - - - - - _ 437, 497 zeros and associated values- _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 467 zeros of the derivative and associated values--_- 468 Bessel functions, integrals- - - - _ _ _ _ _ _ _ _ _ _ _ - _ _ _ _ 479,485 asymptotic expansions- - - _ _ - _ _ _ _ - _ _ _ _ _ _ _ _ - - 480,482 computation of _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 488 convolution type _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 485 Hankel-Nicholson type _ _ _ _ _ _ _ - - _ _ _ _ _ _ _ _ _ _ _ _ _ _ 488 involving products of _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 484 polynominal approximations- _ _ _ _ _ _ _ _ _ _ _ _ _ _ - 481,482 recurrence relations--- - _ _ _ - - _ _ _ _ _ __ _ _ _ _ _ _ _ _ 480, 483 reduction formulas- _ _ - _ - - - - - - - - - - _ _ - - - _ - - - - - 483 repeated____-----_--_____________________--- 482 simple-_______--___-____________________--- 480 tables of ____________________________________ 492 Weber-Schafheitlin type-.. - _ - _ - _ - _ - - - - - - - - - - - - 487 Bessel functions J.(z),Yp(z)_-- _ _ _ _ _ _ _ _ 358, 379, 381, 385 addition theorems for _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 363 1031 The page scan image above, and the text in the text box above, are contributions of the National Institute of Standards and Technology that are not subject to copyright in the United States. ©2000 ConvertIt.com, Inc. All rights reserved. Terms of Use.