Table Of ContentTrends in Mathematics
Sandeep Singh
Mehmet Ali Sarigöl
Alka Munjal
Editors
Algebra,
Analysis, and
Associated
Topics
Trends in Mathematics
Trends in Mathematics is a series devoted to the publication of volumes arising
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Sandeep Singh • Mehmet Ali Sarigöl • Alka Munjal
Editors
Algebra, Analysis, and
Associated Topics
Editors
SandeepSingh MehmetAliSarigöl
DepartmentofMathematics DepartmentofMathematics
AkalUniversity PamukkaleUniversity
TalwandiSabo,Punjab,India Denizli,Turkey
AlkaMunjal
GalgotiasUniversity
GreaterNoida,UttarPradesh,India
ISSN2297-0215 ISSN2297-024X (electronic)
TrendsinMathematics
ISBN978-3-031-19081-0 ISBN978-3-031-19082-7 (eBook)
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DedicatedtoGod
Preface
Analysis and algebra are two key branches of Mathematics. Analysis is a branch
of Mathematics which studies continuous changes and includes the theories of
integration, differentiation, measure, limits, analytic functions, and infinite series
while algebra is the study of algebraic structures, groups, rings, modules, fields,
vectorspaces,andlattices.Abasicpremiseofthisbookisthatqualityassuranceis
effectively achieved through the selection of quality research articles. This book
comprises the contribution of various researchers in 15 chapters. Each chapter
identifies the existing challenges in the areas of Algebra, Analysis, and related
topics.Thesechaptersarerepresentingtheimportanceofexistingresultsandhelpful
forgeneratingnewideasforvariousresearchproblemsofpureMathematics.
Thisbookprovidesthetechniquesuitableforsolvingtheproblemwithsufficient
mathematical background, and discussions on the obtained results with physical
interruptions to understand the domain of applicability of Analysis and Algebra.
This book discusses new results in cutting-edge areas of several branches of
mathematics and applications, including analysis, algebra number theory, etc.
Also, algebra and combinatorics are core areas of mathematics which find broad
applications in the sciences and in other mathematical fields. Literature survey
is also provided in each of chapter which reveals the challenges, outcomes, and
developmentsofhigher-levelmathematicsinthisdecade.
ThebookcomprisedofthefollowinginterestingtopicsofPureMathematics:
• MaximalRotationalHypersurfaces
• k-HoradamSequences
• LauricellaFunction
• AbsoluteNörlundSummableFactor
• DerivationsandSpecialFunctionsoverFields
• CentralAutomorphismofaGroup
• BrandtSemigroupB
n
• (cid:2)ConvergenceinCAT(0)Spaces
• QuantumDynamicalSemi-Group
• CardinalityofSum-Sets
vii
viii Preface
• CantorDyadicGroups
• I -StatisticalLimitPointsandClusterPoints
2
• BesselandWhittakerFunctions
• NeutrosophiceSpace
Thisbookpromotesavisionofpuremathematicsasintegraltomodernscience
andengineering.TheoreticallyorientedreaderswillfindanoverviewofMathemat-
ics and its applications. Readers will find a variety of current research topics with
sufficient discussion in terms of physical point of view to adapt for solving the
particularapplication.Thebookstimulatestheadvancementofmathematicsandits
applications.
As editors, we would like to express our sincere thanks to the Akal University
for providing us excellent facilities and support for further research. We are also
gratefultoallrefereesforspendingtheirvaluabletimetoreviewsthechapters.The
editors are thankful to Chris Eder Associate Editor at Springer, for his continuous
supporttowardthepublicationofthisbook.
TalwandiSabo,India SandeepSingh
Denizli,Turkey MehmetAliSarigöl
GreaterNoida,India AlkaMunjal
June2022
Contents
1 MaximalRotationalHypersurfacesHavingSpacelikeAxis,
SpacelikeProfileCurveinMinkowskiGeometry....................... 1
ErhanGülerandÖmerKis¸i
2 OntheGeneralizedk-Horadam-LikeSequences ....................... 11
KalikaPrasad,HrishikeshMahato,andMuneshKumari
3 NewResultson(p ,p ,···,p ,k)AnalogueofLauricella
1 2 n
FunctionwithTransformsandFractionalCalculusOperator........ 27
Anil Kumar Yadav, Rupakshi Mishra Pandey,
andVishnuNarayanMishra
4 AbsoluteLinearMethodofSummationforOrthogonalSeries ....... 41
AlkaMunjal
5 DerivationsandSpecialFunctionsOverFields ......................... 55
YashpreetKaur
6 OnEqualitiesofCentralAutomorphismGroupwithVarious
AutomorphismGroups..................................................... 71
HarpalSinghandSandeepSingh
7 AutomorphismGroupandLaplacianSpectrumofaGraph
OverBrandtSemigroups .................................................. 85
SandeepDalal
8 UnifiedIterationSchemeinCAT(0)SpacesandFixedPoint
ApproximationofMeanNonexpansiveMappings...................... 97
Nisha Sharma, Kamal Kumar, Laxmi Rathour, Alka Munjal,
andLakshmiNarayanMishra
9 SemigroupsofCompletelyPositiveMaps................................ 115
PreetinderSingh
ix
x Contents
10 OnSumsetProblemsandTheirVariousTypes......................... 135
RamandeepKaurandSandeepSingh
11 Vector-ValuedAffineBi-FramesonLocalFields ....................... 151
M.YounusBhat,OwaisAhmad,AltafA.Bhat,andD.K.Jain
12 A New Perspective on I -Statistical Limit Points and
2
I -StatisticalClusterPointsinProbabilisticNormedSpaces ......... 167
2
ÖmerKis¸iandErhanGüler
13 EvaluationofIntegralTransformsinTermsofHumbertand
LauricellaFunctionsandTheirApplications ........................... 183
AbdelmajidBelafhal,HalimaBenzehoua,andTalhaUsman
14 SomeSpacesinNeutrosophice-OpenSets .............................. 213
A.Vadivel,P.Thangaraja,andC.JohnSundar
15 GeneralizedFiniteContinuousRidgeletTransform.................... 227
NituGuptaandV.R.LakshmiGorty
