Author: Aerospace Research Laboratories (U.S.)Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :
Book Description
Tables Relating to the Radial Mathieu Functions
Author: Aerospace Research Laboratories (U.S.)Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :
Book Description
Tables Relating to the Radial Mathieu Functions: Functions of the first kind, by G. Blanch and D. S. Clemm
Author: Aerospace Research Laboratories (U.S.)Publisher:
ISBN:
Category : Mathieu functions
Languages : en
Pages : 426
Book Description
Tables Relating to the Radical Mathieu Functions: Functions of the second kind, by G. Blanch and D. S. Clemm
Author: Aerospace Research Laboratories (U.S.)Publisher:
ISBN:
Category : Mathieu functions
Languages : en
Pages : 518
Book Description
Tables Relating to the Radi̥al Mathieu Functions
Author: Aerospace Research Laboratories (U.S.)Publisher:
ISBN:
Category : Mathieu functions
Languages : en
Pages : 518
Book Description
Tables Relating to the Radial Mathieu Functions: Functions of the first kind
Author: G. BlanchPublisher:
ISBN:
Category : Mathieu functions
Languages : en
Pages : 426
Book Description
Graphs and Tables of the Mathieu Functions and Their First Derivatives
Author: James C. WiltsePublisher: Author House
ISBN: 1468544616
Category : Science
Languages : en
Pages : 172
Book Description
Mathieu functions are employed in solving a variety of problems in mathematic (al?) physics. In many cases the configuration involves elliptical coordinates. Of course, the circular geometry is the degenerate case of the elliptical cross section. This volume contains values for, and curves of the angular and radial Mathieu functions and their first derivatives. The latter are often needed in the solution of problems, in particular in solving electromagnetic wave propagation problems. Also included are data on zero crossings of the radial Mathieu functions. These are often needed for determining the cut-off frequencies for propagating modes. Other tables are available for the Mathieu functions, but there is very little data available for derivatives or zero crossings. It is felt that the principal value of this volume is in the multitude of curves included. The analyst dealing with elliptical cases can, by inspection of the curves, find values of the functions and derivatives at the origin, maxima and minima, zero crossings, and qualitative behavior of the plots as a function of several parameters. To the authors knowledge, this is the most extensive presentation of plotted information. It is hoped that the information will be helpful in the solution of practical problems. This book is divided into two sections. Section I deals only with the functions themselves, defining the equations and terminology used and presenting the tabular data and curves. Section II treats the derivatives and the zeros. Again the terminology and equations for the first derivatives are given. The Mathieu functions are named after Emile L. Mathieu (1835-1890), a French mathematician, who in 1868 published an article dealing with vibratory movement of the elliptic membrane. The asteroid 27947 Emilemathieu is named in his honor.
Mathieu's Equation for Complex Parameters
Author: Gertrude BlanchPublisher:
ISBN:
Category : Eigenvalues
Languages : en
Pages : 304
Book Description
Air Reseach and Development Command Publications: Tables Relating to the Radical Mathieu Functions
Author: United States. Air Force DepartmentPublisher:
ISBN:
Category :
Languages : en
Pages : 516
Book Description
Mathieu Functions and Spheroidal Functions and their Mathematical Foundations
Author: J. MeixnerPublisher: Springer
ISBN: 3540384111
Category : Mathematics
Languages : en
Pages : 134
Book Description
Author: