02373cam a22003497a 45000010008000000030004000080050017000120060019000290070015000480080041000630200043001040200040001470200026001870350026002130400062002390420014003010500023003150820017003381000033003552100040003882450133004282600034005615040064005955060043006595200417007025200361011195200253014806500030017336500058017637730060018218560142018818578352OSt20150408114223.0m        d        cr  n         100826s2010    nyua    sb    001 0 eng d  a9781441970190 (hdbk. : acidfree paper)  a1441970193 (hdbk. : acidfree paper)  a9781441970206 (ebook)  a(WaSeSS)ssj0000450278  aBTCTAbengcBTCTAdYDXCPdBWXdCDXdEMUdSNKdDLCdWaSeSS  alccopycat 4aQA353.H9bK75 2010  222a515bKGS1 aKristensson, Gerhard,d1949-10aSecond order differential equations10aSecond order differential equationsh[electronic resource] :bspecial functions and their classification /cGerhard Kristensson.  aNew York :bSpringer,cc2010.  aIncludes bibliographical references (p. 215-216) and index.  aLicense restrictions may limit access.  aSecond Order Differential Equations presents a classical piece of theory concerning hypergeometric special functions as solutions of second-order linear differential equations. The theory is presented in an entirely self-contained way, starting with an introduction of the solution of the second-order differential equations and then focusing on the systematic treatment and classification of these solutions. --  aEach chapter contains a set of problems which help reinforce the theory. Some of the preliminaries are covered in appendices at the end of the book, one of which provides an introduction to Poincare-Perron theory, and the appendix also contains an alternative way of analyzing the asymptomatic behavior of solutions of difference equations. --  Back Cover.  aThis textbook is appropriate For advanced undergraduate and graduate students in Mathematics, Physics, and Engineering interested in Ordinary and Partial Differential Equations. A solutions manual is available online at springer.com. -- Back Cover. 0aHypergeometric functions. 0aDifferential equations, PartialxNumerical solutions. 0tSpringerLink ebooks - Mathematics and Statistics (2010)40uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio8578352zFull text available from SpringerLink ebooks - Mathematics and Statistics (2010)