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 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: 11. Integrals of Bessel Functions YUDELL L. LUKE' Contents Page Mathematical Properties . . . . . . . . . . . . . . . . . . . . 480 11.1. Simple Integrals of Bessel Functions . . . . . . . . . . . 480 11.2. Repeated Integrals of Jn(z) and Ko(z) -. . . . . . . . . . 482 11.3. Reduction Formulas for Indefinite Integrals . . . . . . . 483 11.4. Definite Integrals . . . . . . . . . . . . . . . . . . . 485 Numerical Methods . . . . . . . . . . . . . . . . . . . . . . 488 11.5. Use and Extension of the Tables . . . . . . . . . . . . 488 References . . . . . . . . . . . . . . . . . . . . . . . . . . 490 Table 11.1 Integrals of Bessel Functions . . . . . . . . . . . . . 492 Table 11.2 Integrals of Besseb Functions . . . . . . . . . . . . . 494 The author acknowledges the assistance of Geraldine Coombs, Betty Kahn, Marilyn Kemp, Betty Ruhlman, and Anna Lee Samuels for checking formulas and developing numerical examples, only a portion of which could be accommodated here. 1 Midwest Research Institute. (Prepared under contract with the National Bureau of Standards.) 479 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.