LEADER 03178nam 22006135 450 001 9910988288503321 005 20251202142012.0 010 $a9789819775149 010 $a9819775140 024 7 $a10.1007/978-981-97-7514-9 035 $a(MiAaPQ)EBC31974501 035 $a(Au-PeEL)EBL31974501 035 $a(CKB)38100501100041 035 $a(DE-He213)978-981-97-7514-9 035 $a(OCoLC)1512319182 035 $a(EXLCZ)9938100501100041 100 $a20250325d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSpecial Integrals /$fby Abhishek Mishra 205 $a1st ed. 2025. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025. 215 $a1 online resource (288 pages) 225 1 $aUniversity Texts in the Mathematical Sciences,$x2731-9326 311 08$a9789819775132 311 08$a9819775132 327 $aBinomial Series -- Trigonometrical Series -- Special Integrals -- Pseudo-Exponential Functions -- Series Sums using Special Integrals -- Solutions to Binomial Series -- Solutions to Trigonometrical Series. 330 $aTargeted to upper-undergraduate and graduate students of mathematics, this book discusses special integrals and their applications in finding certain series sums. It starts with the differentiation and the integration methods for summing a series that is applied to find the sum of various binomial and trigonometrical series. It also discusses methods to find the sum of series involving the variables having exponents in integral or fractional powers of 2. Complex variables are freely used to derive several theorems, which result in several special integrals and series sums. Bessel coefficients, Bessel functions, and their various generalizations are also discussed in the book. As a particular case of generalized Bessel functions, pseudo-exponential functions are defined, and their properties are studied in the book. Broadly divided into two parts?Part 1 and Part 2?the book has six chapters in Part 1, whereas Part 2 has six chapters on solutions to the problems in Part 1. To understand the topics in the book, the minimum prerequisites are the knowledge of calculus, complex analysis, and Fourier series. 410 0$aUniversity Texts in the Mathematical Sciences,$x2731-9326 606 $aIntegral equations 606 $aMathematical analysis 606 $aIntegral Equations 606 $aIntegral Transforms and Operational Calculus 606 $aEquacions integrals$2thub 606 $aAnàlisi matemàtica$2thub 608 $aLlibres electrònics$2thub 615 0$aIntegral equations. 615 0$aMathematical analysis. 615 14$aIntegral Equations. 615 24$aIntegral Transforms and Operational Calculus. 615 7$aEquacions integrals 615 7$aAnàlisi matemàtica 676 $a515.45 700 $aMishra$b Abhishek$0887481 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910988288503321 996 $aSpecial Integrals$94347150 997 $aUNINA LEADER 00727nam 2200241la 450 001 9910482785203321 005 20221102153053.0 035 $a(UK-CbPIL)2090310849 035 $a(CKB)5500000000095322 035 $a(EXLCZ)995500000000095322 100 $a20221102d1572 uy | 101 0 $adan 135 $aurcn||||a|bb| 200 00$aFrederich II. Haandfæstning ..., 1559 210 $aCopenhagen $c[s.n.]$d1572 215 $aOnline resource (31 s.) 300 $aReproduction of original in Det Kongelige Bibliotek / The Royal Library (Copenhagen). 801 0$bUk-CbPIL 801 1$bUk-CbPIL 906 $aBOOK 912 $a9910482785203321 996 $aFrederich II. Haandfæstning ... 1559$94535835 997 $aUNINA