Volume 56 (No 1-2026)

2. A NOTE ON INEQUALITIES AND BOUNDS FOR LAMBERT W FUNCTION, AND ITS RELATIONSHIPS WITH GAMMA AND PSI FUNCTIONS

By

Mohammad Shakil¹ , Tassaddaq Hussain², R. C. Singh Chandel³ , Jai Narain Singh⁴, 

Mohammad Ahsanullah⁵ and B. M. Golam Kibria⁶

1Department of Mathematics, Miami Dade College, Hialeah, FL, USA - 33012 ²Department of Statistics, Mirpur University of Science and Technology, Mirpur, Pakistan - 10250 

3Department of Mathematics, D.V. Postgraduate College, Orai, Uttar Pradesh, India - 285001 4Department of Mathematics & Computer Science, Barry University, Miami Shores, FL, USA - 33161 5Professor Emeritus, Rider University, Lawrenceville, NJ, USA - 08648 6Department of Mathematics and Statistics, Florida International University, Miami, FL, USA - 33199 

Email: mshakil@mdc.edu, tafkho2000@gmail.com, rc chandel@yahoo.com, jsingh@mail.barry.edu, ahsan@rider.edu, kibriag@fiu.edu 

(Received: September 21, 2025; Revised: March 26, 2026; Accepted March 28, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56101

6-13 [Download]

3. BICOMPLEX AND MULTICOMPLEX GENERALIZATION OF GROWTH PROPERTIES OF ENTIRE SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS

By

Sanjib Kumar Datta

Department of Mathematics, University of Kalyani, P.O.: Kalyani, Dist: Nadia, West Bengal, India-741235 

Email: sanjibdatta05@gmail.com

(Received: November 03, 2025; In format: February 21, 2021, 2026; revised: June 07, 2026; Accepted June 18, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56102

14-26 [Download]

4. BICOMPLEX AND MULTICOMPLEX ANALYTICAL FLAVOUR OF NON-NEWTONIAN TWO-PHASE BLOOD FLOW IN PULMONARY DISEASES

By

Dheerendra Kumar1  , Mohit Sarkar2 , Sanjib Kumar Datta3* , Surya Kant Chaturvedi4 and Govind Singh5

1Department of Mathematics and Computer Science, R. D. University Jablpur, Madhya Pradesh, India, 482001. 2Department of Mathematics, Fakir Chand College (Diamond Harbour), Diamond Harbour, South 24 Parganas, West Bengal, India, 743331. 3Department of Mathematics, University of Kalyani, Kalyani, Nadia, West Bengal, India, 741235. 4Department of Biological Science, MGCGV Chitrakoot University, Chitrakoot, Satna, Madhya Pradesh, India, 485334. 5Faculty of Engineering & Technology, MGCG University, Chitrakoot, Satna, Madhya Pradesh, India, 485334. 

Email: 1dr.dheerendrakmaurya@gmail.com; 2mohitsarkar98@gmail.com; 3∗ sanjibdatta05@gmail.com; 4 suryakantmgcgv@gmail.com; 5 eduinfoexpert@gmail.com (

Received : November 25, 2025; Revised : December 12, 2025; Accepted : June 25, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56103

27-39 [Download]

5. NEW CLASS OF GENERALIZED HERMITE POLYNOMIALS INVOLVING CUBIC HERMITE POLYNOMIALS

By

M. A. Pathan1* , R. C. Singh Chandel2 and Hemant Kumar3 

1Centre for Mathematical and Statistical Sciences, Peechi Campus, Peechi, Kerala, India-680653 *Department of Mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, India-202002 2Department of Mathematics, D. V. Postgraduate College Orai, Uttar Pradesh, India-285001 3Department of Mathematics, D. A-V. Postgraduate College, Kanpur, Uttar Pradesh, India-208001 

Email: mapathan@gmail.com, rc chandel@yahoo.com, palhemant2007@rediffmail.com; hemantkumar kn03@csjmu.ac.in 

(Received: January 09, 2026; In format: February 22, 2026; Revised: February 27, 2026; Accepted: March 17, 2026)

DOI: https://doi.org/10.58250/jnanabha.2026.56104

40-46 [Download]

6. CONSTANT OF MOTION FOR THE KEPLER PROBLEM IN A UNIFORM FIELD CONNECTED WITH WHITNEY NUMBERS AND BERNOULLI POLYNOMIALS

By

J. D. Bulnes1 , H. Kumar2 , H. N. N´u˜nez-Y´epez3 , A. L. Salas-Brito4 and J. L´opez-Bonilla5

1Departamento de Ciencias Exatas e Tecnologia, Universidade Federal do Amap´a, Rod. Juscelino Kubitschek, Jardin Marco Zero, Macap´a, AP, Brasil-68 903-419 2Department of Mathematics D.A.-V, Post Graduate College, Kanpur, Uttar Pradesh, India-208001 3Departamento de F´ısica, Universidad Aut´onoma Metropolitana-Iztapalapa, Apdo. Postal 55-534, Iztapalapa, CDMX-M´exico-CP 09340 4Departamento de Ciencias B´asicas, Universidad Aut´onoma Metropolitana-Azcapotzalco, CDMX, M´exico-CP 02200 5ESIME-Zacatenco, Instituto Polit´ecnico Nacional, Edif. 4, 1er. Piso, Col. Lindavista, CDMX, M´exico-CP 07738 

Email: bulnes@uifap.br, palhemant2007@rediffmail.com; hemantkumar kn03@csjmu.ac.in, nyhn@xanum.uam.mx, asb@correo.azc.uam.mx, jlopezb@ipn.mx 

(Received: June 01, 2026; Revised: June 14, 2026; Accepted: June 29, 2026)

DOI: https://doi.org/10.58250/jnanabha.2026.56105

47-52 [Download]

7. FIXED POINT THEOREMS FOR (α − ψ)-TYPE CONTRACTION MAPPINGS IN PERTURBED METRIC SPACES

By

Sunil Kumar Panwar1, Parveen Kumar2*  and Manoj Kumar3 

1,3Department of Commerce , Tau Devi Lal Postgraduate Government College for Women, Murthal Sonepat, Haryana India-131027 2Department of Mathematics , Tau Devi Lal Postgraduate Government College for Women, Murthal Sonepat, Haryana India-131027 

Email: sunilpanwaria@gmail.com, parveenkarwal21@gmail.com, manojdahiya1981@gmail.com ∗Corresponding Author 

(Received: October 31, 2025; In format: November 01, 2025; Revised: November 11, 2025; Accepted: January 05, 2026)

DOI: https://doi.org/10.58250/jnanabha.2026.56106

53-59 [Download]

8. INVERSION OF AN INTEGRAL INVOLVING A PRODUCT OF GENERALIZED HYPERGEOMETRIC FUNCTION AND ALEPH-FUNCTION AS KERNEL

By

Divya Dwivedi1 and Rajeev Shrivastava2 

1Department of Mathematics, A.P.S. University, Rewa, Madhya Pradesh, India-486001 2Department of Mathematics, Government Indira Gandhi Home Science College, Shahdol, Madhya Pradesh, India-484001 

Email: dwivedidivya72@gmail.com, rajeevshri18@gmail.com 

(Received: May 22, 2025; In format : September 27, 2025; Revised: April 04, 2026; Accepted: April 10, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56107

60-64 [Download]

9. A NOVEL GENERALIZATION OF THE MITTAG-LEFFLER FUNCTION: PROPERTIES AND INTEGRAL TRANSFORMS

By

Naresh Bhati 

Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur Rajasthan, India- 342005 

Email: nareshbhati1978@gmail.com 

(Received: May 23, 2025; In format: September 04, 2025; Revised: January 30, 2026; Accepted: June 10, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56108

65-75 [Download]

10. LACUNARY POLYNOMIAL INTERPOLATION BY g-SPLINE: (0, 1, 2, 5) CASE

By

Poornima Tiwari 

Department of Science, The Bhopal School of Social Sciences, Bhopal, Madhya Pradesh, India-462024 

Email: poornimatiwari31@yahoo.com 

(Received: May 01, 2024; In format: July 09, 2025; Revised: April 02, 2026; Accepted: April 08, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56109

76-80 [Download]

11. RADII OF ANALYTIC FUNCTIONS SATISFYING SOME COEFFICIENT INEQUALITIES

By

Rajni Mendiratta and Hiten Bansal 

Department of Mathematics, Keshav Mahavidyalaya, University of Delhi, Delhi, India-110034 

Email: rajni.mendiratta@keshav.du.ac.in, hitenbansal212004@gmail.com 

(Received: March 10, 2026; In format: March 24, 2026; Revised: April 10, 2026; Accepted: May 28, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56110

81-93 [Download]

12. SET-VALUED OPTIMIZATION PROBLEMS WITH HIGHER-ORDER (α, β)-δ-CONE CONVEXITY

By

Koushik Das1,2

1Officer on Special Duty (OSD), Education Directorate, Department of Higher Education, Government of West Bengal, Bikash Bhawan, Kolkata, West Bengal, India - 700091 and 2Assistant Professor, Department of Mathematics, Government General Degree College Singur, Hooghly, West Bengal, India - 712409 

Email: koushik@singurgovtcollege.org; koushikdas.maths@gmail.com 

(Received: February 22, 2026; In format: February 28, 2026; Revised: March 26, 2026; Accepted: March 29, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56111

94-106 [Download]

13. HYBRID FIXED POINT THEORY FOR SUM OF TWO OPERATORS IN A LATTICE ORDERED BANACH SPACE WITH APPLICATIONS TO NONLINEAR DISCONTINUOUS INTEGRAL EQUATIONS

By

Bapurao C. Dhage and Janhavi B. Dhage 

Kasubai, Gurukul Colony, Thodga Road, Ahmedpur, Distr. Latur, Maharashtra, India- 413515 

Email: bcdhage@gmail.com, jbdhage@gmail.com 

(Received: August 08, 2025, Revised: May 03, 2026, Accepted: May 05, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56112

107-120[Download]

14. RATIONAL-TYPE CONTRACTIONS IN DOUBLE CONTROLLED METRIC TYPE SPACES WITH APPLICATIONS TO NONLINEAR INTEGRAL EQUATIONS

By

Rajeshvari Dhote1, Manoj Ughade2 and S. S. Shrivastava3

Department of Mathematics, Institute for Excellence in Higher Education (IEHE), Bhopal, Madhya Pradesh, India–462016 

Email: rajeshvaridhote13@gmail.com, manojhelpyou@gmail.com, sss.math@yahoo.com 

(Received: February 05, 2026, In format: February 26, 2026; Revised: May 17, 2026; Accepted: June 10, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56113

121-136 [Download]

15. NEW GENERALIZED RESULTS ON GRUSS-TYPE FRACTIONAL INTEGRAL INEQUALITIES INVOLVING THE CAPUTO–FABRIZIO INTEGRAL OPERATOR

By

Bhawesh Khatri1 and Meena Kumari Gurjar2,* 

1,2Department of Mathematics and Statistics, J.N.V. University, Jodhpur, Rajasthan, India–342001 

Email: bhawesh13197@gmail.com, meenanetj@gmail.com *Corresponding author 

(Received: February 01, 2026, In format: February 14, 2026; Revised: April 05, 2026; Accepted June 20, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56114

137-153 [Download]

16. ON SOFT M∗ -OPEN SET IN SOFT TOPOLGICAL SPACES

By

Bhupendra Singh Gehlot1 , Suman Jain2 and Anjali Srivastava3

1,3School of Studies in Mathematics, Vikram University, Ujjain, Madhya Pradesh, India-456010 2Department of Mathematics Government College Mahidpur, Dist-Ujjain, Madhya Pradesh, India-456443 

Email: gehlotb88@gmail.com, jsuman63@gmail.com, anjalivuu@gmail.com 

(Received : July 26, 2025; In format: September 27, 2025; Revised: June 06, 2026, Accepted : June 25, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56115

154-158 [Download]

17. HALL CURRENT AND VISCOUS DISSIPATION ON MHD NATURAL CONVECTION FLOW WITH THERMAL STRATIFICATION

By

Nidhi Pandya and Shikha Rawat 

Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh, India-226007 

Email: dr.nidh23@gmail.com, rawatshikha05@gmail.com 

(Received: March 25, 2025; In format: May 07, 2026; Revised: June 08, 2026; Accepted: June 27, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56116

159-169 [Download]

18. ON Ψα,β-CONTRACTIVE MAPPINGS AND FIXED POINTS

By

Ranjana Maravi, Manoj Ughade and S. S. Shrivastava 

Department of Mathematics, Institute for Excellence in Higher Education (IEHE), Bhopal, Madhya Pradesh, India-462016 

Email: ranjanamaravi026@gmail.com, manojhelpyou@gmail.com, sss.math@yahoo.co.in 

(Received: February 08, 2026; In format: March 24, 2026; Received: June 20, 2026; Accepted: June 29, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56117

170-182 [Download]

19. COEFFICIENT INEQUALITIES FOR A CERTAIN CLASS OF CLOSE-TO-STAR FUNCTIONS DEFINED BY SUBORDINATION

By

S. Kalaiselvan1, K. Suchithra2 , T. Thulasiram3* and T.V. Sudharsan4

1Department of Mathematics, Guru Nanak College, Chennai, Tamil Nadu, India-600042 2,3Department of Mathematics, A.M. Jain College, Chennai, Tamil Nadu, India - 600061 4Department of Mathematics, S.I.V.E.T. College, Gowrivakkam, Chennai, Tamil Nadu, India - 600073, No.3, Pari street, Chitlapakkam, Chennai, Tamil Nadu, India -600064 

Email: kalaiselvan.s@gurunanakcollege.edu.in, suchithra.k@amjaincollege.edu.in, thulasiram.t@amjaincollege.edu.in, tvsudharsan@gmail.com*Corresponding author 

(Received: November 03, 2025; In format: November 05, 2025; Revised June 25, 2026; Accepted: June 29, 2026) 

DOI: https://doi.org/10.58250/jnanabha.2026.56118

183-191 [Download]