03096nam0 22004693i 450 VAN0031017020260908102232.523N978981977514920260907d2025 |0itac50 baengSG|||| |||||i e bcrSpecial integralsAbhishek MishraSingaporeSpringer20251 testo elettronico (XVI, 382 p.ill.)Targeted 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)001VAN003098132001 University texts in the mathematical sciences210 SingaporeSpringer2024-26A06One-variable calculus [MSC 2020]VANC022162MF26A09Elementary functions [MSC 2020]VANC024645MF33B10Exponential and trigonometric functions [MSC 2020]VANC024474MF33E20Other functions defined by series and integrals [MSC 2020]VANC035625MF40C10Integral methods for summability [MSC 2020]VANC034270MF40C15Function-theoretic methods (including power series methods and semicontinuous methods) for summability [MSC 2020]VANC039083MFBinomial seriesKW:KDifferentiation method of summationKW:KIntegration method of summationKW:KPseudo-exponential functionsKW:KSpecial integralsKW:KTrigonometrical seriesKW:KSGSingaporeVANL000061MishraAbhishekVANV231147887481Springer <editore>VANV108073650Mishra, A.Mishra, AbhishekVANV275858ITSOL20260911RICAhttps://doi.org/10.1007/978-981-97-7514-9E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethNVAN00310170Special Integrals4347150UNICAMPANIA