2 edition of **Table of modified Bessel functions [by] Henry E. Fettis [and] James C. Caslin.** found in the catalog.

Table of modified Bessel functions [by] Henry E. Fettis [and] James C. Caslin.

Henry E Fettis

- 36 Want to read
- 22 Currently reading

Published
**1969**
by Aerospace Research Laboratories, Office of Aerospace Research in Wright-Patterson Air Force Base, Ohio
.

Written in English

- Bessel functions

**Edition Notes**

Contributions | Caslin, James C, United States Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio |

Classifications | |
---|---|

LC Classifications | QA408 F4 |

The Physical Object | |

Pagination | 232p. |

Number of Pages | 232 |

ID Numbers | |

Open Library | OL18825125M |

Description: This journal, begun in as Mathematical Tables and Other Aids to Computation, publishes original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical is devoted to advances in numerical analysis, the application of computational methods, high speed calculating, and other aids to computation. 3. Convexity of modified Bessel functions with respect to power means. In this section, we are going to complement and extend the results of the section above. To this aim, we study the convexity of modified Bessel functions of the first and second kind with respect to Hölder means. For the reader’s convenience, we first recall here some basics.

Mathematical Tables and Other Aids to Computation Volume 9, Num October, Cyril Atkinson Polynomial Root Solving on the Electronic Differential Analyser (A Technique for Finding the Real and Complex Roots of a Polynomial Using an Electronic Differential Analyser). Although Bessel functions are among the most widely used functions in applied mathematics, this book is essentially the first to present a calculus associated with this class of functions. The author obtains a generalized umbral calculus associated with the Euler operator and its associated Bessel eigenfunctions for each positive value of an.

Integral with Bessel function and hypergeometric function ${}_2F_2$: explicit expression for these polynomials? 0 Literature about the integral of Bessel $\int_0^x I_{0,1}(u) e^{-a u}du$? Mathematics of Computation Vol Number , July, James H. Bramble and Peter H. Sammon Efficient Higher Order Single Step Methods for Parabolic Problems: Part I Carl de Boor and Blair Swartz Collocation approximation to eigenvalues of an ordinary differential equation: the principle of the thing.

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Get this from a library. Table of modified Bessel functions. [Henry E Fettis; James C Caslin; Aerospace Research Laboratories (U.S.),] -- The report contains 15 place tables of the modified Bessel functions I(sub 0(x), I(sub 1(x), e (sup -x) I(sub o)(x), e(sup -X) I(sub 1(x) for x=0() Fettis, Henry E.

Extended table of zeros of cross products of Bessel functions. [Wright-Patterson Air Force Base]: Aerospace Research Laboratories, Office of Aerospace Research, United States Air Force, (OCoLC) Document Type: Book: All Authors / Contributors: Henry E Fettis; James C Caslin; Aerospace Research Laboratories (U.S.).

Table of modified Bessel functions [by] Henry E. Fettis [and] James C. Caslin. By Henry E Fettis. Abstract. p Topics: Bessel functions--Tables. Publisher: Wright-Patterson Air Force Base, Ohio, Aerospace Research Laboratories, Office of Aerospace Research, U.S Author: Henry E Fettis.

Henry E. Fettis and James C. Caslin, Table of modified Bessel functions, ARLAerospace Research Laboratories, Office of Aerospace Research, United States Air Force, Wright-Patterson Air Force Base, Ohio, MR 1.

Henry E. Fettis & James C. Caslin, An Extended Table of Zeros of Cross Products of Bessel Functions, Report ARLAerospace Research Laboratories, Office of Aerospace Research, United States Air Force, Wright-Patterson Air Force Base, Ohio, February (See Math.

Comp., v. 21,pp.RMT ). Table on lines is correct, the asymptotic formula on lines appears In this computation a Bessel function sub-routine was used that yields values correct to 16D.

Henry E. Fettis James C. Caslin Paul Conçus Lawrence Radiation Laboratory University of California Berkeley, California. Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel's differential equation + + (−) = for an arbitrary complex number α, the order of the Bessel function.

Although α and −α produce the same differential equation, it is conventional to define different Bessel functions for these two values. Advancing research. Creating connections. Abramowitz and Stegun (AS) is the informal name of a mathematical reference work edited by Milton Abramowitz and Irene Stegun of the United States National Bureau of Standards (NBS), now the National Institute of Standards and Technology (NIST).

Its full title is Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables.A digital successor to the Handbook was released.

Henry E. Fettis and James C. Caslin and Kenneth R. Cramer D. Amos Computation of modified Bessel functions Bruno Gabutti On high precision methods for computing integrals involving Bessel functions. Henry E. Fettis. For infinite integrals of triple products of modified and unmodified Bessel functions, see Gervois and Navelet (, a, b, a, b).

§(v) Kontorovich–Lebedev Transform. where is a real constant, is called the modified Bessel's equation, and its solutions are known as modified Bessel functions. and form a fundamental set of solutions of the modified Bessel's equation for noninteger.

is a second solution, independent of. and are defined by: Description. Relations to Other Functions; Asymptotic Expansions for Large Argument; Modulus and Phase Functions; Asymptotic Expansions for Large Order; Uniform Asymptotic Expansions for Large Order; Zeros; Integrals; Sums; Functions of Imaginary Order; Modified Bessel Functions.

Definitions; Table of Modified Bessel Functions. By HENRY E. FETTIS and JAMES C. CASLIN. Aerospace Research Laboratories, Office of Aerospace Research, U.S. Air Force, Wright-Patterson Air Force Base, Ohio, ix + pp. Rational Approximations to a Class of G-Functions. By JERRY L.

FIELDS. Spherical Bessel Functions: (ˆ2f0)0+ (2ˆ2 n(n+ 1))f = 0. If we de ne the spherical Bessel function j n(ˆ) = ˆ 1 2 J n+1 2 (ˆ), then only solution of this ODE bounded at ˆ= 0 is j n(ˆ). Spherical Bessel Function Identity: j n(x) = x2 1 x d dx n sinx x: Spherical Bessel Function Orthogonality: Let z nmbe the m-th positive zero of j m.

Table of Modified Bessel Functions by Henry E. Fettis, James C. Caslin Table of Modified Bessel Functions by Henry E. Fettis, James C. Caslin (p. ) Review by: J. The results are applied to Bessel functions, and to Hermite and Laguerre polynomials. An Extended Table of Zeros of Cross Products of Bessel Functions.

Henry E. Fettis; James C. Caslin. More Zeros of Bessel Function Cross Products by Henry E. Fettis, James C. Caslin. More Zeros of Bessel Function Cross Products by Henry E.

Fettis, James C. Caslin (p. ) Review by: J. DOI: / Table of Primitive Pythagorean Triangles. Main Author: Fettis, Henry E: Related Names: Caslin, James C., joint author. Language(s): English: Published: Wright-Patterson Air Force Base, Ohio, Aerospace.

Following that a chapter is dedicated to applying the results obtained to several well-known functions including the sine and cosine functions, Bessel functions, confluent hypergeometric functions. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS ELSEVIER Journal of Computational and Applied Mathematics 62 () Two infinite integrals of products of modified Bessel functions and powers of logarithms K.S.

K61big 1 Computing and Networks Division, CERN, CH Gen~ve 23, Switzerland Received 30 September Abstract Two parameter-dependent.

where the right-hand side of the identity of is the limiting value in case ν is an following integral representation formula and asymptotic formulas for the modified Bessel function of the second kind K ν (x) can be found in the literature [],Table of contents (7 chapters) Table of contents (7 chapters) Oberhettinger, Fritz.

Preview Buy Chap95 € Integral Transforms with Modified Bessel Functions as Kernel. Pages *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not.