Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
DE
EN
Books
Journals
Events
Topic Page
Marketing
Log in
Learn more about individual access
Request company access
13th International Engine Congress 2026 | 24 + 25 February 2026

Meeting Place for the Powertrain and Sustainable Fuels Community

Take part as a speaker in the 13th International Engine Congress 2026, the Meeting Place for the Powertrain, and Sustainable Fuels Community for the exchange of experience. Submit a subject proposal online about our main subject areas: Passenger car engine technology, Commercial vehicle engine technology and Sustainable Fuels & Energy!
EXTENDED SEARCH
Log in
Top
Published in:
Read chapter Read first chapter

2024 | OriginalPaper | Chapter

q-Neighborhoods and Partial Sums for Certain Subclasses of Analytic Functions with Negative Coefficients

Authors : Ala Amourah, Abdullah Alsoboh, Waggas Galib Atshan, Issa Al Kharusi

Published in: Mathematical Analysis and Numerical Methods

Publisher: Springer Nature Singapore

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In the present work, we introduce a new subclasses of analytic functions with negative coefficients, using a differential operator involving q-Ruscheweyh Operator. We obtain the sufficient conditions and show some properties of functions belong to these subclasses: partial sums of its sequence and the q-neighborhoods problem are solved. Future research can focus on the symmetry properties and other properties of the subclass of functions introduced in this paper.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Optimal Sampling Locations for Fractional Partial Differential Equations Using D-Optimality
next chapter Lie Algebraic Method for Generating Certain Harmonic Oscillator-Like Functions
Literature
1.
Euler, L.: Introductio in analysin infinitorum. MM Bousquet 2, 1748
2.
Jackson, F.H.: On \(q\)-functions and a certain difference operator. Earth Environ. Sci. Trans. Royal So. Edinburgh 46(2), 253–281 (1909)
3.
Jackson, F.H.: On \(q\)-definite integrals. Quart. J. Pure Appl. Math. 41, 193–203 (1910)
4.
Purohit, S.D., Raina, R.K.: Certain subclass of analytic functions associated with fractional \(q\)-calculus operators. Math. Scand. 109, 55–70 (2011)MathSciNetCrossRef
5.
Ismail, M.E., Merkes, E., Styer, D.: A generalization of starlike functions, Complex Variables, Theory and Application: An. Int. J. 14(1–4), 77–84 (1990)
6.
Agrawal, S., Sahoo, S.K.: A generalization of starlike functions of order alpha. Hokkaido Math. J. 46(1), 15–27 (2017)MathSciNetCrossRef
7.
Aldweby, H., Darus, M.: Coefficient estimates of classes of \(q\)-starlike and \(q\)-convex functions. Adv. Stud. Contemp. Math. 26(1), 21–26 (2016)
8.
Elhaddad, S., Aldweby, H., Darus, M.: Some properties on a class of harmonic univalent functions defined by \(q\)-analogue of Ruscheweyh operator. J. Math. Anal. 9(4), 28–35 (2018)MathSciNet
9.
Elhaddad, S., Aldweby, H., Darus, M.: On a certain subclasses of analytic functions involving differential operator. Jñānābha 48(1), 53–62 (2018)
10.
Ahuja, O.P., Çetinkaya, A., Polatoglu, Y., Bieberbach-de Branges, Fekete-Szegö: Inequalities for certain families of \(q\)-convex and \(q\)-close-to-convex functions. J. Comput. Analy. Appl. 26(1) (2019)
11.
Anakira, N.R., Alomari, A.K., Hashim, I.: Application of optimal homotopy asymptotic method for solving linear delay differential equations. AIP Conf. Proc. Am. Inst. Phys. 1571(1), 1013–1019 (2013)CrossRef
12.
Al-Ahmad, S., Anakira, N.R., Mamat, M., Suliman, I.M., AlAhmad, R.: Modified differential transformation scheme for solving classes of non-linear differential equations. TWMS J. Appl. Eng, Math (2021)
13.
14.
15.
Alsoboh, A., Amourah, A., Darus, M., Rudder, C.A.: Investigating new subclasses of bi-univalent functions associated with \(q\)-Pascal distribution series using the subordination principle. Symmetry 15(5), 1109 (2023)CrossRef
16.
Amourah, A., Frasin, B.A., Seoudy, T.M.: An Application of Miller Ross-type Poisson distribution on certain subclasses of bi-univalent functions subordinate to Gegenbauer polynomials. Mathematics 10(14), 2462 (2022)CrossRef
17.
Amourah, A.A., Yousef, F., Al-Hawary, T., Darus, M.: On a class of p-valent non-Bazilevic functions of order \(\mu +i\beta \). Int. J. Math. Anal. 10(15), 701–710 (2016)CrossRef
18.
Alsoboh, A., Amourah, A., Darus, M., Al Sharefeen, R.I.: Applications of neutrosophic q-Poisson distribution series for subclass of analytic functions and bi-univalent functions. Mathematics Article ID 2159187 (2023)
19.
Amourah, A., Frasin, B.A., Al-Hawary, T.: Coefficient estimates for a subclass of bi-univalent functions associated with symmetric q-derivative operator by means of the Gegenbauer polynomials. Kyungpook Math. J. 62(2), 257–269 (2022)MathSciNet
20.
Amourah, A., Abdelkarim, H., AL-Elaumi, A.: \((p, q)\)-Chebyshev polynomials and their applications to bi-univalent functions. TWMS J. Appl. Eng. Math. 12(2), 481–486 (2022)
21.
22.
23.
24.
Silverman, H.: Neighborhoods of a classes of analytic function. Far East J. Math. Sci. 3(2), 165–169 (1995)MathSciNet
25.
Elhaddad, S., Aldweby, H., Darus, M.: Neighborhoods of certain classes of analytic functions defined by a generalized differential operator involving Mittag-Leffler function. Acta Universitatis Apulensis 18(55), 01–10 (2018)MathSciNet
26.
27.
Abubaker, A.A., Darus, M.: Partial sums of analytic functions involving generalized Cho-Kwon-Srivastava operator. Int. J. Open Prob. Compl. Anal. 2(3), 181–188 (2010)
28.
Darus, M., Ibrahim, R.W.: On partial sums of generalized differential operator. Proc. Pakistan Acad. Sci. 46, 209–215 (2009)MathSciNet
29.
Amourah, A.A., Al-Hawary, T., Darus, M.: Some properties of the class of univalent functions Involving a new generalized differential operator. J. Comput. Theor. Nanosci. 13(10), 6797–6799 (2016)CrossRef
Metadata
Title
q-Neighborhoods and Partial Sums for Certain Subclasses of Analytic Functions with Negative Coefficients
Authors
Ala Amourah
Abdullah Alsoboh
Waggas Galib Atshan
Issa Al Kharusi
Copyright Year
2024
Publisher
Springer Nature Singapore
Book
Mathematical Analysis and Numerical Methods

Print ISBN: 978-981-9748-75-4

Electronic ISBN: 978-981-9748-76-1

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-981-97-4876-1_4

Premium Partner

    Image Credits