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1、SpecialFunctionsforAppliedScientistsA.M.Mathai•HansJ.HauboldSpecialFunctionsforAppliedScientists123A.M.MathaiHansJ.HauboldMcGillUniversityOfficeforOuterSpaceAffairsMontreal,QCUN,ViennaCanadaAustriaandhans.haubold@unvienna.orgCentreforMathematicalSciencesPalaCampus,Ker
2、laIndiamathai@math.mcgill.caISBN:978-0-387-75893-0e-ISBN:978-0-387-75894-7DOI:10.1007/978-0-387-75894-7LibraryofCongressControlNumber:2007942158c2008SpringerScience+BusinessMedia,LLCAllrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewritten
3、permissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimil
4、arordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printed
5、onacid-freepaper.987654321springer.comPrefaceThefirstS.E.R.C.(ScienceandEngineeringResearchCounciloftheDepartmentofScienceandTechnology,GovernmentofIndia,NewDelhi)SchoolonSpecialFunc-tionswassponsoredbyDST(DepartmentofScienceandTechnology),NewDelhi,andconductedbyCMS(C
6、entreforMathematicalSciences)forsixweeksin1995.ThesecondS.E.R.C.SchoolonSpecialFunctionsandFunctionsofMatrixArgu-mentwassponsoredbyDST,Delhi,andconductedbyCMSforfiveweeksduringtheperiod29thMayto30thJune2000.InthesecondSchool,themainlecturesweregivenbyDr.H.L.ManochaofD
7、elhi,India,Dr.S.BhargavaofMysore,India,Dr.K.SrinivasaRaoandDr.R.JagannathanofChennai,IndiaandDr.A.M.MathaiofMontreal,Canada.SupplementarylecturesweregivenandproblemsessionsweresupervisedbyDr.K.S.S.NambooripadandDr.S.R.ChettiyarofCMS,Dr.R.N.Pillai(retired),Dr.T.S.K.Mo
8、othathuandDr.YageenThomasoftheUniversityofKeralaandDr.E.KrishnanoftheUniversityCollegeTrivandrum.LectureNoteswerebroughtoutasPublic