LEADER 03096nam0 22004693i 450 001 VAN00310170 005 20260908102232.523 017 70$2N$a9789819775149 100 $a20260907d2025 |0itac50 ba 101 $aeng 102 $aSG 105 $a|||| ||||| 181 $ai$b e 182 $ab 183 $acr 200 1 $aSpecial integrals$fAbhishek Mishra 210 $aSingapore$cSpringer$d2025 215 $a1 testo elettronico (XVI, 382 p.$cill.) 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. (Dal sito dell'editore) 410 1$1001VAN00309813$12001 $aUniversity texts in the mathematical sciences$1210 $aSingapore$cSpringer$d2024- 606 $a26A06$xOne-variable calculus [MSC 2020]$3VANC022162$2MF 606 $a26A09$xElementary functions [MSC 2020]$3VANC024645$2MF 606 $a33B10$xExponential and trigonometric functions [MSC 2020]$3VANC024474$2MF 606 $a33E20$xOther functions defined by series and integrals [MSC 2020]$3VANC035625$2MF 606 $a40C10$xIntegral methods for summability [MSC 2020]$3VANC034270$2MF 606 $a40C15$xFunction-theoretic methods (including power series methods and semicontinuous methods) for summability [MSC 2020]$3VANC039083$2MF 610 $aBinomial series$9KW:K 610 $aDifferentiation method of summation$9KW:K 610 $aIntegration method of summation$9KW:K 610 $aPseudo-exponential functions$9KW:K 610 $aSpecial integrals$9KW:K 610 $aTrigonometrical series$9KW:K 620 $aSG$dSingapore$3VANL000061 700 1$aMishra$bAbhishek$3VANV231147$0887481 712 $aSpringer $3VANV108073$4650 790 1$aMishra, A.$zMishra, Abhishek$3VANV275858 801 $aIT$bSOL$c20260911$gRICA 856 4 $uhttps://doi.org/10.1007/978-981-97-7514-9$zE-book ? Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o Shibboleth 912 $fN 912 $aVAN00310170 996 $aSpecial Integrals$94347150 997 $aUNICAMPANIA